Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7406b |
Isogeny class |
Conductor |
7406 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-107442671805532 = -1 · 22 · 73 · 238 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 4 4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4331,-509551] |
[a1,a2,a3,a4,a6] |
j |
-60698457/725788 |
j-invariant |
L |
2.0276381880761 |
L(r)(E,1)/r! |
Ω |
0.25345477350951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59248x1 66654bp1 51842c1 322a1 |
Quadratic twists by: -4 -3 -7 -23 |