Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456s |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-42539996016 = -1 · 24 · 36 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -4 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4720,-123647] |
[a1,a2,a3,a4,a6] |
j |
-6179217664/22599 |
j-invariant |
L |
1.151705135931 |
L(r)(E,1)/r! |
Ω |
0.2879262839807 |
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 |
72912s1 109368t1 744g1 |
Quadratic twists by: -4 -3 -7 |