Atkin-Lehner |
2- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19024b |
Isogeny class |
Conductor |
19024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-199675904 = -1 · 212 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 1 3 0 -1 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-504,4244] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:82:1] |
Generators of the group modulo torsion |
j |
-3463512697/48749 |
j-invariant |
L |
7.1756222036147 |
L(r)(E,1)/r! |
Ω |
1.7913330880727 |
Real period |
R |
1.0014360605786 |
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 |
1189a1 76096k1 |
Quadratic twists by: -4 8 |