Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37100g |
Isogeny class |
Conductor |
37100 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
8986455715249250000 = 24 · 56 · 714 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6863300,6919158125] |
[a1,a2,a3,a4,a6] |
j |
143015349373955260416/35945822860997 |
j-invariant |
L |
1.5791661316816 |
L(r)(E,1)/r! |
Ω |
0.22559516167187 |
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 |
1484b1 |
Quadratic twists by: 5 |