Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200b |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
62110800 = 24 · 37 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -1 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-523,-4418] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:31:8] |
Generators of the group modulo torsion |
j |
39627704320/155277 |
j-invariant |
L |
3.3330159541614 |
L(r)(E,1)/r! |
Ω |
0.99840630213535 |
Real period |
R |
3.3383362483724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600g1 85200bd1 |
Quadratic twists by: -4 5 |