Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
3760q |
Isogeny class |
Conductor |
3760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
394264576000 = 226 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3 5- 3 1 -1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1867,-7174] |
[a1,a2,a3,a4,a6] |
j |
175710096801/96256000 |
j-invariant |
L |
4.656206235707 |
L(r)(E,1)/r! |
Ω |
0.77603437261784 |
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 |
470f1 15040bd1 33840bt1 18800y1 |
Quadratic twists by: -4 8 -3 5 |