Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352i |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
350691630166066176 = 210 · 34 · 134 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49349352,-133418712960] |
[a1,a2,a3,a4,a6] |
Generators |
[1793454:36895105:216] |
Generators of the group modulo torsion |
j |
12979803788407988032164772/342472295084049 |
j-invariant |
L |
4.7172421519393 |
L(r)(E,1)/r! |
Ω |
0.056961208006282 |
Real period |
R |
6.9012495770499 |
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 |
7176o2 57408di2 43056j2 |
Quadratic twists by: -4 8 -3 |