Atkin-Lehner |
5+ 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129115d |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
69854400 |
Modular degree for the optimal curve |
Δ |
1.1099929109099E+26 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ 6 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-176595036,-747686695955] |
[a1,a2,a3,a4,a6] |
j |
105651305848750206275584/19254661364892578125 |
j-invariant |
L |
5.2837527421739 |
L(r)(E,1)/r! |
Ω |
0.041934561634649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129115v1 |
Quadratic twists by: -7 |