Atkin-Lehner |
2- 3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6486o |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-58659176448 = -1 · 218 · 32 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -6 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6,11655] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:63:1] [-15:99:1] |
Generators of the group modulo torsion |
j |
23639903/58659176448 |
j-invariant |
L |
5.4088122456309 |
L(r)(E,1)/r! |
Ω |
0.88240878434662 |
Real period |
R |
0.34053329310886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51888q1 19458a1 |
Quadratic twists by: -4 -3 |