Atkin-Lehner |
2+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
41536j |
Isogeny class |
Conductor |
41536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-39209984 = -1 · 210 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 0 2 2 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64,360] |
[a1,a2,a3,a4,a6] |
Generators |
[30:460:27] |
Generators of the group modulo torsion |
j |
-28311552/38291 |
j-invariant |
L |
7.1164451247843 |
L(r)(E,1)/r! |
Ω |
1.8442316114535 |
Real period |
R |
3.8587588893859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41536m1 2596a1 |
Quadratic twists by: -4 8 |