Atkin-Lehner |
2- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38236a |
Isogeny class |
Conductor |
38236 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
236016 |
Modular degree for the optimal curve |
Δ |
-342480326738176 = -1 · 28 · 118 · 792 |
Discriminant |
Eigenvalues |
2- 0 -3 4 11- 1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145079,21288014] |
[a1,a2,a3,a4,a6] |
Generators |
[223:158:1] |
Generators of the group modulo torsion |
j |
-6153977808/6241 |
j-invariant |
L |
4.328519654571 |
L(r)(E,1)/r! |
Ω |
0.5373301051329 |
Real period |
R |
1.3426010110675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38236e1 |
Quadratic twists by: -11 |