Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050s |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3036608926750000 = 24 · 56 · 710 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82980,-8789353] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:615:1] |
Generators of the group modulo torsion |
j |
4044073786633161/194342971312 |
j-invariant |
L |
7.0634165501394 |
L(r)(E,1)/r! |
Ω |
0.28212967869873 |
Real period |
R |
1.2518031748234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120400bc2 602a2 105350cb2 |
Quadratic twists by: -4 5 -7 |