Atkin-Lehner |
2- 3+ 7+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038w |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
48320 |
Modular degree for the optimal curve |
Δ |
-5521824 = -1 · 25 · 33 · 7 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- 1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-593,-5407] |
[a1,a2,a3,a4,a6] |
j |
-852780481587/204512 |
j-invariant |
L |
4.8378990116775 |
L(r)(E,1)/r! |
Ω |
0.48378997960872 |
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 |
115038a1 |
Quadratic twists by: -3 |