Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800j |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
492800 = 28 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11+ -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,77] |
[a1,a2,a3,a4,a6] |
j |
640000/77 |
j-invariant |
L |
2.8455508947154 |
L(r)(E,1)/r! |
Ω |
2.845550894714 |
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 |
15400p1 123200gk1 30800p1 |
Quadratic twists by: -4 8 5 |