Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bg |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2118530756250000 = 24 · 32 · 58 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-613713,184784031] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:19322:1] |
Generators of the group modulo torsion |
j |
1636061778667305289/135585968400 |
j-invariant |
L |
6.964425368274 |
L(r)(E,1)/r! |
Ω |
0.44266483909278 |
Real period |
R |
1.9666191984385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9690j2 |
Quadratic twists by: 5 |