Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850k |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11128320 |
Modular degree for the optimal curve |
Δ |
-4.6784963115625E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33015000,-73030000000] |
[a1,a2,a3,a4,a6] |
Generators |
[78442830096205928725441180616536938712:14867141332153733962254608914284447018016:2117002602182569412098293127532807] |
Generators of the group modulo torsion |
j |
-901689913000849/10600000 |
j-invariant |
L |
7.6490034927291 |
L(r)(E,1)/r! |
Ω |
0.031491360645157 |
Real period |
R |
60.723031142713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970x1 129850c1 |
Quadratic twists by: 5 -7 |