Atkin-Lehner |
2+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109504b |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
3588227072 = 221 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 5 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-929,-10207] |
[a1,a2,a3,a4,a6] |
Generators |
[-528:269:27] |
Generators of the group modulo torsion |
j |
338608873/13688 |
j-invariant |
L |
8.7485749591222 |
L(r)(E,1)/r! |
Ω |
0.86683827162955 |
Real period |
R |
5.0462555979128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109504p1 3422d1 |
Quadratic twists by: -4 8 |