Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996t |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-66237696 = -1 · 28 · 33 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,-396] |
[a1,a2,a3,a4,a6] |
j |
-592/189 |
j-invariant |
L |
2.6300513984886 |
L(r)(E,1)/r! |
Ω |
0.87668370267459 |
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 |
114996q1 |
Quadratic twists by: 37 |