Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
37080i |
Isogeny class |
Conductor |
37080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-142387200 = -1 · 211 · 33 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 1 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123,-778] |
[a1,a2,a3,a4,a6] |
j |
-3721734/2575 |
j-invariant |
L |
2.7818845660921 |
L(r)(E,1)/r! |
Ω |
0.69547114151784 |
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 |
74160c1 37080a1 |
Quadratic twists by: -4 -3 |