Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680j |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
11290752000 = 210 · 36 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1368,18792] |
[a1,a2,a3,a4,a6] |
j |
379275264/15125 |
j-invariant |
L |
2.5297768653676 |
L(r)(E,1)/r! |
Ω |
1.2648884326853 |
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 |
31680ct1 3960s1 3520l1 |
Quadratic twists by: -4 8 -3 |