Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600b |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1380000000 = 28 · 3 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2908,61312] |
[a1,a2,a3,a4,a6] |
Generators |
[33:14:1] |
Generators of the group modulo torsion |
j |
680136784/345 |
j-invariant |
L |
3.7641574470246 |
L(r)(E,1)/r! |
Ω |
1.4997076299215 |
Real period |
R |
2.5099275164863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13800m1 110400hq1 82800bg1 5520g1 |
Quadratic twists by: -4 8 -3 5 |