Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480d |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1366041600 = 210 · 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,3456] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:80:1] [-12:84:1] |
Generators of the group modulo torsion |
j |
10262905636/1334025 |
j-invariant |
L |
5.8840807861334 |
L(r)(E,1)/r! |
Ω |
1.4661094760345 |
Real period |
R |
1.0033494910027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240bd2 73920hm2 55440be2 92400cq2 |
Quadratic twists by: -4 8 -3 5 |