Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150ck |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-12994332050 = -1 · 2 · 52 · 76 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,587,-99] |
[a1,a2,a3,a4,a6] |
j |
7604375/4418 |
j-invariant |
L |
2.9877076772861 |
L(r)(E,1)/r! |
Ω |
0.74692713709382 |
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 |
115150y1 2350j1 |
Quadratic twists by: 5 -7 |