Atkin-Lehner |
2+ 3+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050o |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2256000 |
Modular degree for the optimal curve |
Δ |
435656994703125000 = 23 · 3 · 59 · 13 · 595 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-778200,-262641000] |
[a1,a2,a3,a4,a6] |
j |
26685062511176789/223056381288 |
j-invariant |
L |
0.3216430365566 |
L(r)(E,1)/r! |
Ω |
0.16082207053296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050ck1 |
Quadratic twists by: 5 |