Atkin-Lehner |
2+ 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450h |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8827211484375000 = 23 · 3 · 510 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-929500,-345281000] |
[a1,a2,a3,a4,a6] |
j |
5683980750786486721/564941535000 |
j-invariant |
L |
2.460139409229 |
L(r)(E,1)/r! |
Ω |
0.15375871307576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690v3 |
Quadratic twists by: 5 |