Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15190x |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
6276826012979200000 = 215 · 55 · 711 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-489756,53566736] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:9644:1] |
Generators of the group modulo torsion |
j |
110426885440588081/53352140800000 |
j-invariant |
L |
7.7882632797207 |
L(r)(E,1)/r! |
Ω |
0.21204559569688 |
Real period |
R |
0.61215319077365 |
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 |
121520bx1 75950n1 2170q1 |
Quadratic twists by: -4 5 -7 |