Atkin-Lehner |
2- 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13202i |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
14239329488470016 = 230 · 73 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-287202,-59082769] |
[a1,a2,a3,a4,a6] |
Generators |
[825:15907:1] |
Generators of the group modulo torsion |
j |
2619908876552444803873/14239329488470016 |
j-invariant |
L |
10.255291479326 |
L(r)(E,1)/r! |
Ω |
0.20629789485265 |
Real period |
R |
3.3140721048561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105616u1 118818i1 92414bc1 |
Quadratic twists by: -4 -3 -7 |