Atkin-Lehner |
5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60515d |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-462769400275 = -1 · 52 · 78 · 132 · 19 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ -1 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,229,32626] |
[a1,a2,a3,a4,a6] |
Generators |
[58:487:1] |
Generators of the group modulo torsion |
j |
229376/80275 |
j-invariant |
L |
6.7888744704508 |
L(r)(E,1)/r! |
Ω |
0.72673601407402 |
Real period |
R |
2.3353990785782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60515j1 |
Quadratic twists by: -7 |