Atkin-Lehner |
2- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600bk |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
455680000 = 213 · 54 · 89 |
Discriminant |
Eigenvalues |
2- -3 5- 0 0 -1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475,3850] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:10:1] [5:-40:1] |
Generators of the group modulo torsion |
j |
4629825/178 |
j-invariant |
L |
5.5214382107767 |
L(r)(E,1)/r! |
Ω |
1.6537856752992 |
Real period |
R |
0.27822217701492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450p1 35600bg1 |
Quadratic twists by: -4 5 |