Atkin-Lehner |
3+ 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675p |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1481182294921875 = -1 · 35 · 510 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -5 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34658,3109343] |
[a1,a2,a3,a4,a6] |
j |
-294663748317184/94795666875 |
j-invariant |
L |
2.709929983727 |
L(r)(E,1)/r! |
Ω |
0.4516554397741 |
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 |
25935n1 |
Quadratic twists by: 5 |