Atkin-Lehner |
2+ 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350z |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-2420280000 = -1 · 26 · 36 · 54 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,333,-459] |
[a1,a2,a3,a4,a6] |
j |
8947775/5312 |
j-invariant |
L |
1.6967772887007 |
L(r)(E,1)/r! |
Ω |
0.84838864436563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150o1 37350bj1 |
Quadratic twists by: -3 5 |