Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552dl |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
224 |
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 |
[200933:9882516:1] |
Generators of the group modulo torsion |
j |
-1024074375966668466862743896129521/1619330121041898938277298176 |
j-invariant |
L |
8.3727514500974 |
L(r)(E,1)/r! |
Ω |
0.016762521755415 |
Real period |
R |
2.2298765757233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552a1 27888u1 |
Quadratic twists by: -4 8 |