Atkin-Lehner |
2+ 5- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35960b |
Isogeny class |
Conductor |
35960 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
1010251250000 = 24 · 57 · 292 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25742,-1588951] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:25:1] [188:465:1] |
Generators of the group modulo torsion |
j |
117904556057389056/63140703125 |
j-invariant |
L |
8.738007111413 |
L(r)(E,1)/r! |
Ω |
0.37692326326044 |
Real period |
R |
1.6558897418587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71920d1 |
Quadratic twists by: -4 |