Atkin-Lehner |
2- 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350cg |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
13906246500000000 = 28 · 32 · 59 · 174 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60213,384417] |
[a1,a2,a3,a4,a6] |
Generators |
[276:2055:1] |
Generators of the group modulo torsion |
j |
1545165254811529/889999776000 |
j-invariant |
L |
14.307532343601 |
L(r)(E,1)/r! |
Ω |
0.33791067673263 |
Real period |
R |
2.6463229289579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966207 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18870a1 |
Quadratic twists by: 5 |