Atkin-Lehner |
2+ 3+ 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29670k |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
44565638062500 = 22 · 36 · 56 · 232 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18127,-890351] |
[a1,a2,a3,a4,a6] |
j |
658777792914781561/44565638062500 |
j-invariant |
L |
2.4791895100337 |
L(r)(E,1)/r! |
Ω |
0.41319825167244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89010bm2 |
Quadratic twists by: -3 |