Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560dk |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
34880447869747200 = 217 · 32 · 52 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-602936,179775060] |
[a1,a2,a3,a4,a6] |
j |
5918043195362419129/8515734343200 |
j-invariant |
L |
2.9343959468349 |
L(r)(E,1)/r! |
Ω |
0.36679949335436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570a2 114240hg2 85680fu2 |
Quadratic twists by: -4 8 -3 |