Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11696m |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-262224293339856896 = -1 · 232 · 175 · 43 |
Discriminant |
Eigenvalues |
2- -3 1 0 2 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99787,27462778] |
[a1,a2,a3,a4,a6] |
Generators |
[2373:114688:1] |
Generators of the group modulo torsion |
j |
-26827837227982881/64019602866176 |
j-invariant |
L |
3.2782462026299 |
L(r)(E,1)/r! |
Ω |
0.27496007462334 |
Real period |
R |
2.9806565617942 |
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 |
1462c1 46784w1 105264bx1 |
Quadratic twists by: -4 8 -3 |