Atkin-Lehner |
2+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040d |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
4578338000 = 24 · 53 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12071,-514496] |
[a1,a2,a3,a4,a6] |
j |
12158204868696064/286146125 |
j-invariant |
L |
1.821885958711 |
L(r)(E,1)/r! |
Ω |
0.45547165738569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60520f1 |
Quadratic twists by: -4 |