Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224by |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
101173833105408 = 217 · 38 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-677964,-214860688] |
[a1,a2,a3,a4,a6] |
Generators |
[-130438360:4771404:274625] |
Generators of the group modulo torsion |
j |
3065617154/9 |
j-invariant |
L |
6.8510283579758 |
L(r)(E,1)/r! |
Ω |
0.16637879432743 |
Real period |
R |
10.294323242439 |
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 |
28224fv6 3528l5 9408q5 576d5 |
Quadratic twists by: -4 8 -3 -7 |