Atkin-Lehner |
2+ 3+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30906b |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
20482800702455808 = 221 · 39 · 173 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-121191,-14676355] |
[a1,a2,a3,a4,a6] |
Generators |
[116045:3183017:125] |
Generators of the group modulo torsion |
j |
10001048710378851/1040634085376 |
j-invariant |
L |
4.4290186893961 |
L(r)(E,1)/r! |
Ω |
0.25759760086712 |
Real period |
R |
8.5967778319508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30906l1 |
Quadratic twists by: -3 |