Atkin-Lehner |
2- 7- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
129808j |
Isogeny class |
Conductor |
129808 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1019520 |
Modular degree for the optimal curve |
Δ |
-26772594631353088 = -1 · 28 · 73 · 192 · 615 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 4 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,66131,-4395615] |
[a1,a2,a3,a4,a6] |
Generators |
[1677:69426:1] |
Generators of the group modulo torsion |
j |
124937395850436608/104580447778723 |
j-invariant |
L |
10.052246194317 |
L(r)(E,1)/r! |
Ω |
0.20752967262689 |
Real period |
R |
4.036469410684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32452b1 |
Quadratic twists by: -4 |