Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11172w |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
110407468752 = 24 · 32 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1829,24912] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:1107:8] |
Generators of the group modulo torsion |
j |
1048576/171 |
j-invariant |
L |
5.1305451890022 |
L(r)(E,1)/r! |
Ω |
1.0084529928294 |
Real period |
R |
5.0875402477684 |
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 |
44688ce1 33516w1 11172e1 |
Quadratic twists by: -4 -3 -7 |