Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480d |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
811345920 = 211 · 3 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7056,230496] |
[a1,a2,a3,a4,a6] |
Generators |
[50:14:1] [58:114:1] |
Generators of the group modulo torsion |
j |
18972782339618/396165 |
j-invariant |
L |
5.8840807861334 |
L(r)(E,1)/r! |
Ω |
1.4661094760345 |
Real period |
R |
4.013397964011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240bd3 73920hm4 55440be4 92400cq4 |
Quadratic twists by: -4 8 -3 5 |