Atkin-Lehner |
2- 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13202h |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-9056572 = -1 · 22 · 74 · 23 · 41 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13,-147] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1485:1] |
Generators of the group modulo torsion |
j |
-244140625/9056572 |
j-invariant |
L |
4.6161132143976 |
L(r)(E,1)/r! |
Ω |
1.0084747367768 |
Real period |
R |
4.5773216185376 |
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 |
105616x1 118818k1 92414t1 |
Quadratic twists by: -4 -3 -7 |