Atkin-Lehner |
5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60515h |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
317520 |
Modular degree for the optimal curve |
Δ |
-30852465363321875 = -1 · 55 · 72 · 139 · 19 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15395,-8477694] |
[a1,a2,a3,a4,a6] |
Generators |
[240:1262:1] |
Generators of the group modulo torsion |
j |
-8235593868673024/629642150271875 |
j-invariant |
L |
3.2958372077484 |
L(r)(E,1)/r! |
Ω |
0.16368976211605 |
Real period |
R |
4.0269313921416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60515b1 |
Quadratic twists by: -7 |