Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760o |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
5211422720000 = 224 · 54 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103883,-12886918] |
[a1,a2,a3,a4,a6] |
j |
30268940040892449/1272320000 |
j-invariant |
L |
2.1274262628672 |
L(r)(E,1)/r! |
Ω |
0.26592828285792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4970g1 |
Quadratic twists by: -4 |