Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400a |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3385476000000 = 28 · 39 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8775,-303750] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:100:1] |
Generators of the group modulo torsion |
j |
949104/43 |
j-invariant |
L |
4.6636635195651 |
L(r)(E,1)/r! |
Ω |
0.49465651669424 |
Real period |
R |
2.3570211666674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77400x1 3096g1 |
Quadratic twists by: -3 5 |