Atkin-Lehner |
3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925b |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
286326140625 = 39 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12867,564416] |
[a1,a2,a3,a4,a6] |
j |
766060875/931 |
j-invariant |
L |
1.943457625645 |
L(r)(E,1)/r! |
Ω |
0.97172881282286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29925d1 1197b1 |
Quadratic twists by: -3 5 |