Atkin-Lehner |
3- 5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675z |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
138995390625 = 3 · 57 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-494026,133609823] |
[a1,a2,a3,a4,a6] |
j |
853398431263839889/8895705 |
j-invariant |
L |
2.8989339398103 |
L(r)(E,1)/r! |
Ω |
0.72473350577432 |
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 |
25935f4 |
Quadratic twists by: 5 |