Atkin-Lehner |
3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37275d |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
2348325 = 33 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 1 -4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70,-245] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] [-42:49:8] |
Generators of the group modulo torsion |
j |
1551443665/93933 |
j-invariant |
L |
8.8230738864368 |
L(r)(E,1)/r! |
Ω |
1.653720375533 |
Real period |
R |
2.6676438220679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111825h1 37275k1 |
Quadratic twists by: -3 5 |