Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15190i |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-452525290 = -1 · 2 · 5 · 72 · 314 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -5 -7 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,191,102] |
[a1,a2,a3,a4,a6] |
Generators |
[8:42:1] |
Generators of the group modulo torsion |
j |
15844999079/9235210 |
j-invariant |
L |
1.4560805402029 |
L(r)(E,1)/r! |
Ω |
1.0074472498 |
Real period |
R |
0.36132922604435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121520bk1 75950cq1 15190l1 |
Quadratic twists by: -4 5 -7 |