Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552a |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
520224768 |
Modular degree for the optimal curve |
Δ |
-4.2449767525041E+32 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -3 -2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134394832321,-18989497485609023] |
[a1,a2,a3,a4,a6] |
Generators |
[226822278398742637980011924400109656410702385793846263875778943095659719145519593532796267658979248204131163:217167880359006560687915374951810740281634702524337330696890155711772295082673549106332605571003612535728898048:213917835683122686788645070610924949787480070441533749410549339777263349096293582875371814317109433803] |
Generators of the group modulo torsion |
j |
-1024074375966668466862743896129521/1619330121041898938277298176 |
j-invariant |
L |
4.8847513192844 |
L(r)(E,1)/r! |
Ω |
0.003942146445838 |
Real period |
R |
154.8886940908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552dl1 3486k1 |
Quadratic twists by: -4 8 |