Atkin-Lehner |
2+ 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610a |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-10361131200000 = -1 · 29 · 39 · 55 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10815,-457075] |
[a1,a2,a3,a4,a6] |
j |
-7107789850083/526400000 |
j-invariant |
L |
0.46617159088326 |
L(r)(E,1)/r! |
Ω |
0.23308579544122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29610q1 |
Quadratic twists by: -3 |