Atkin-Lehner |
3- 5- 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
121545l |
Isogeny class |
Conductor |
121545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
622592 |
Modular degree for the optimal curve |
Δ |
11949889323825 = 314 · 52 · 372 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 -2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-468212,123430686] |
[a1,a2,a3,a4,a6] |
j |
15571230546142877689/16392166425 |
j-invariant |
L |
2.4018689012467 |
L(r)(E,1)/r! |
Ω |
0.60046716358957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40515b1 |
Quadratic twists by: -3 |