Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85260q |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1058400 |
Modular degree for the optimal curve |
Δ |
19660277330400000 = 28 · 3 · 55 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87236,7240260] |
[a1,a2,a3,a4,a6] |
j |
1015302736/271875 |
j-invariant |
L |
1.079549436972 |
L(r)(E,1)/r! |
Ω |
0.35984980917298 |
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 |
85260h1 |
Quadratic twists by: -7 |