Atkin-Lehner |
5- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129115v |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
9979200 |
Modular degree for the optimal curve |
Δ |
9.4347840687974E+20 |
Discriminant |
Eigenvalues |
2 -1 5- 7- 6 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3603980,2180874303] |
[a1,a2,a3,a4,a6] |
j |
105651305848750206275584/19254661364892578125 |
j-invariant |
L |
3.2847015197591 |
L(r)(E,1)/r! |
Ω |
0.14930459417836 |
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 |
129115d1 |
Quadratic twists by: -7 |