Atkin-Lehner |
2+ 11+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15466a |
Isogeny class |
Conductor |
15466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74624 |
Modular degree for the optimal curve |
Δ |
-6445733888 = -1 · 211 · 112 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ -1 0 3 11+ -7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-290605,60177053] |
[a1,a2,a3,a4,a6] |
Generators |
[311:-150:1] |
Generators of the group modulo torsion |
j |
-2714159051572998849625/6445733888 |
j-invariant |
L |
2.7245277005181 |
L(r)(E,1)/r! |
Ω |
0.87594849415393 |
Real period |
R |
0.77759357961728 |
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 |
123728s1 |
Quadratic twists by: -4 |