Atkin-Lehner |
3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065p |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-272815451067140415 = -1 · 35 · 5 · 78 · 794 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41161,-25338160] |
[a1,a2,a3,a4,a6] |
Generators |
[389:3995:1] [419:5360:1] |
Generators of the group modulo torsion |
j |
-65553197996161/2318893072335 |
j-invariant |
L |
6.9929132035121 |
L(r)(E,1)/r! |
Ω |
0.13491784588293 |
Real period |
R |
5.1830898705511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8295c1 |
Quadratic twists by: -7 |