Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730cf |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
-9326962739404800 = -1 · 213 · 38 · 52 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35330,-5317873] |
[a1,a2,a3,a4,a6] |
Generators |
[297:3091:1] |
Generators of the group modulo torsion |
j |
-41454067728529/79277875200 |
j-invariant |
L |
9.6785391628168 |
L(r)(E,1)/r! |
Ω |
0.16387505591828 |
Real period |
R |
1.1357784261806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1770g1 |
Quadratic twists by: -7 |