Atkin-Lehner |
2+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6808d |
Isogeny class |
Conductor |
6808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80320 |
Modular degree for the optimal curve |
Δ |
9390836032768 = 28 · 232 · 375 |
Discriminant |
Eigenvalues |
2+ 3 0 3 -5 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-637300,195823076] |
[a1,a2,a3,a4,a6] |
j |
111818973794544000000/36682953253 |
j-invariant |
L |
4.6982192114544 |
L(r)(E,1)/r! |
Ω |
0.5872774014318 |
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 |
13616a1 54464m1 61272k1 |
Quadratic twists by: -4 8 -3 |