Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37100h |
Isogeny class |
Conductor |
37100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-7865200 = -1 · 24 · 52 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 3 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5,-135] |
[a1,a2,a3,a4,a6] |
j |
-34560/19663 |
j-invariant |
L |
2.1029466220412 |
L(r)(E,1)/r! |
Ω |
1.0514733110272 |
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 |
37100l1 |
Quadratic twists by: 5 |