Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bg |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-5.7561787311732E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53606326,151503794048] |
[a1,a2,a3,a4,a6] |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
1.7899278671651 |
L(r)(E,1)/r! |
Ω |
0.11187049169782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92400fb1 34650ej1 11550bj1 80850bb1 |
Quadratic twists by: -4 -3 5 -7 |