Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4840i |
Isogeny class |
Conductor |
4840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-4988715776000 = -1 · 211 · 53 · 117 |
Discriminant |
Eigenvalues |
2- 3 5- -1 11- 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8107,300806] |
[a1,a2,a3,a4,a6] |
j |
-16241202/1375 |
j-invariant |
L |
4.5121063025706 |
L(r)(E,1)/r! |
Ω |
0.7520177170951 |
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 |
9680i1 38720u1 43560m1 24200k1 |
Quadratic twists by: -4 8 -3 5 |