Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4312f |
Isogeny class |
Conductor |
4312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-331299584 = -1 · 28 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3 3 7- 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196,-1372] |
[a1,a2,a3,a4,a6] |
j |
-27648/11 |
j-invariant |
L |
5.0055306293951 |
L(r)(E,1)/r! |
Ω |
0.62569132867439 |
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 |
8624l1 34496bx1 38808co1 107800bw1 |
Quadratic twists by: -4 8 -3 5 |