Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11172r |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
938448 = 24 · 32 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,-3228] |
[a1,a2,a3,a4,a6] |
j |
1302642688/171 |
j-invariant |
L |
4.2666464672718 |
L(r)(E,1)/r! |
Ω |
1.0666616168179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688cn1 33516q1 11172k1 |
Quadratic twists by: -4 -3 -7 |