Atkin-Lehner |
5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60515c |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-2570150053835 = -1 · 5 · 78 · 13 · 193 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ 6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,229,-77045] |
[a1,a2,a3,a4,a6] |
Generators |
[624173427:6912022339:5000211] |
Generators of the group modulo torsion |
j |
229376/445835 |
j-invariant |
L |
5.7755240740919 |
L(r)(E,1)/r! |
Ω |
0.37705856854261 |
Real period |
R |
15.317312894648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
60515i1 |
Quadratic twists by: -7 |