Atkin-Lehner |
3+ 5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675i |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
595200 |
Modular degree for the optimal curve |
Δ |
-32886309421875 = -1 · 3 · 56 · 75 · 133 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-323883,-70839082] |
[a1,a2,a3,a4,a6] |
j |
-240474752802390016/2104723803 |
j-invariant |
L |
1.0006282393602 |
L(r)(E,1)/r! |
Ω |
0.10006269160608 |
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 |
5187f1 |
Quadratic twists by: 5 |