Atkin-Lehner |
2- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5624b |
Isogeny class |
Conductor |
5624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-3290846796544 = -1 · 28 · 193 · 374 |
Discriminant |
Eigenvalues |
2- 2 3 -3 -3 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31409,-2133883] |
[a1,a2,a3,a4,a6] |
Generators |
[1459:55278:1] |
Generators of the group modulo torsion |
j |
-13386279925445632/12854870299 |
j-invariant |
L |
5.6683828118711 |
L(r)(E,1)/r! |
Ω |
0.1792998273377 |
Real period |
R |
3.9517486547791 |
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 |
11248b1 44992q1 50616c1 106856b1 |
Quadratic twists by: -4 8 -3 -19 |