Atkin-Lehner |
2+ 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
63602k |
Isogeny class |
Conductor |
63602 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
316416 |
Modular degree for the optimal curve |
Δ |
-158646150392576 = -1 · 28 · 72 · 118 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 11- -4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-86881,9839285] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:4255:1] [-62:3903:1] |
Generators of the group modulo torsion |
j |
-1480164130667813353/3237676538624 |
j-invariant |
L |
5.2193792104032 |
L(r)(E,1)/r! |
Ω |
0.57679707394733 |
Real period |
R |
0.56555626819907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63602c1 |
Quadratic twists by: -7 |