Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160h |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
6790889350080 = 26 · 32 · 5 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79416,-8586774] |
[a1,a2,a3,a4,a6] |
Generators |
[1809430:41191121:2744] |
Generators of the group modulo torsion |
j |
367061696/45 |
j-invariant |
L |
3.4098045871758 |
L(r)(E,1)/r! |
Ω |
0.28439718379584 |
Real period |
R |
11.989586178871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160co1 58080cd2 116160c1 |
Quadratic twists by: -4 8 -11 |