Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65712o |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
168430414774419792 = 24 · 34 · 379 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168843,-18034344] |
[a1,a2,a3,a4,a6] |
Generators |
[-13225720962:-188033010375:75151448] |
Generators of the group modulo torsion |
j |
256000/81 |
j-invariant |
L |
8.3025186343033 |
L(r)(E,1)/r! |
Ω |
0.24139116952199 |
Real period |
R |
17.197229400058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856e1 65712n1 |
Quadratic twists by: -4 37 |