Atkin-Lehner |
2+ 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512m |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-6773164054272 = -1 · 28 · 310 · 7 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,-126614] |
[a1,a2,a3,a4,a6] |
j |
-1409938000/36293103 |
j-invariant |
L |
1.298263640644 |
L(r)(E,1)/r! |
Ω |
0.32456643516868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504r1 |
Quadratic twists by: -3 |