Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31790q |
Isogeny class |
Conductor |
31790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-496509794330 = -1 · 2 · 5 · 112 · 177 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11- -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1439,-26007] |
[a1,a2,a3,a4,a6] |
Generators |
[1062:12181:8] |
Generators of the group modulo torsion |
j |
13651919/20570 |
j-invariant |
L |
4.7262635101409 |
L(r)(E,1)/r! |
Ω |
0.49267369026806 |
Real period |
R |
2.3982727327946 |
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 |
1870g1 |
Quadratic twists by: 17 |