Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192u |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-12529147904 = -1 · 213 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 1 3 7- -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,376,4724] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
5.9211315416658 |
L(r)(E,1)/r! |
Ω |
0.87691345783148 |
Real period |
R |
1.6880604034485 |
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 |
1274c1 40768dr1 91728et1 208a1 |
Quadratic twists by: -4 8 -3 -7 |