Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15640c |
Isogeny class |
Conductor |
15640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10656 |
Modular degree for the optimal curve |
Δ |
-225998000 = -1 · 24 · 53 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 4 -3 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58,-743] |
[a1,a2,a3,a4,a6] |
Generators |
[12:17:1] |
Generators of the group modulo torsion |
j |
-1348614144/14124875 |
j-invariant |
L |
3.0942632437916 |
L(r)(E,1)/r! |
Ω |
0.75076539203526 |
Real period |
R |
0.68691304381237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31280e1 125120bj1 78200s1 |
Quadratic twists by: -4 8 5 |