Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13294h |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-75502315832 = -1 · 23 · 177 · 23 |
Discriminant |
Eigenvalues |
2- -1 4 -3 -6 6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17346,-886649] |
[a1,a2,a3,a4,a6] |
Generators |
[715:18427:1] |
Generators of the group modulo torsion |
j |
-23912763841/3128 |
j-invariant |
L |
6.6650169195236 |
L(r)(E,1)/r! |
Ω |
0.20800136490309 |
Real period |
R |
2.6702616922045 |
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 |
106352i1 119646t1 782b1 |
Quadratic twists by: -4 -3 17 |