Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19312h |
Isogeny class |
Conductor |
19312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-5062524928 = -1 · 222 · 17 · 71 |
Discriminant |
Eigenvalues |
2- -2 0 0 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,232,3220] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:22:1] |
Generators of the group modulo torsion |
j |
335702375/1235968 |
j-invariant |
L |
3.0253036906481 |
L(r)(E,1)/r! |
Ω |
0.9696665652359 |
Real period |
R |
3.1199422555238 |
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 |
2414b1 77248s1 |
Quadratic twists by: -4 8 |