Atkin-Lehner |
2+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600j |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-396645200000000 = -1 · 210 · 58 · 75 · 59 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -4 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12125,808750] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:392:1] [-25:700:1] |
Generators of the group modulo torsion |
j |
492843420/991613 |
j-invariant |
L |
7.1274099592267 |
L(r)(E,1)/r! |
Ω |
0.36857399757858 |
Real period |
R |
0.6445933070163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600n1 |
Quadratic twists by: 5 |