Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3960l |
Isogeny class |
Conductor |
3960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
153964800 = 28 · 37 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2487,-47734] |
[a1,a2,a3,a4,a6] |
j |
9115564624/825 |
j-invariant |
L |
2.7042258388963 |
L(r)(E,1)/r! |
Ω |
0.67605645972408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7920p1 31680p1 1320f1 19800bp1 |
Quadratic twists by: -4 8 -3 5 |