Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570o |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
29715610577469440 = 216 · 5 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88440,5767865] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:3565:1] |
Generators of the group modulo torsion |
j |
3169397364769/1231093760 |
j-invariant |
L |
13.252247370872 |
L(r)(E,1)/r! |
Ω |
0.33895787837551 |
Real period |
R |
4.8871291303152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210d1 |
Quadratic twists by: 17 |