Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480a |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27662342400 = 28 · 36 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-756,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:88:1] |
Generators of the group modulo torsion |
j |
186906097744/108056025 |
j-invariant |
L |
3.2698299755808 |
L(r)(E,1)/r! |
Ω |
0.99590021289265 |
Real period |
R |
1.6416453843721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240be2 73920hp2 55440bg2 92400ci2 |
Quadratic twists by: -4 8 -3 5 |