Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bz |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-140307631200000000 = -1 · 211 · 32 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-267208,56047088] |
[a1,a2,a3,a4,a6] |
j |
-1488770/99 |
j-invariant |
L |
3.8615716748139 |
L(r)(E,1)/r! |
Ω |
0.32179764084533 |
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 |
72600cr1 6600be1 |
Quadratic twists by: 5 -11 |