Atkin-Lehner |
3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4959f |
Isogeny class |
Conductor |
4959 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-11648691 = -1 · 36 · 19 · 292 |
Discriminant |
Eigenvalues |
2 3- 1 -1 -1 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1047,-13041] |
[a1,a2,a3,a4,a6] |
Generators |
[322:797:8] |
Generators of the group modulo torsion |
j |
-174115016704/15979 |
j-invariant |
L |
7.3254043933942 |
L(r)(E,1)/r! |
Ω |
0.41964349689283 |
Real period |
R |
4.3640640493858 |
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 |
79344bb1 551d1 123975bf1 94221p1 |
Quadratic twists by: -4 -3 5 -19 |