Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030q |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
1868568205313600 = 26 · 52 · 73 · 237 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79890,-8445500] |
[a1,a2,a3,a4,a6] |
j |
380920459249/12622400 |
j-invariant |
L |
3.4145999836179 |
L(r)(E,1)/r! |
Ω |
0.2845499986393 |
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 |
1610d1 |
Quadratic twists by: -23 |