Atkin-Lehner |
2+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47974b |
Isogeny class |
Conductor |
47974 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-68116219718 = -1 · 2 · 177 · 83 |
Discriminant |
Eigenvalues |
2+ 1 -4 0 -3 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1018,-17798] |
[a1,a2,a3,a4,a6] |
Generators |
[430:2093:8] |
Generators of the group modulo torsion |
j |
-4826809/2822 |
j-invariant |
L |
3.5324240709068 |
L(r)(E,1)/r! |
Ω |
0.41159007769173 |
Real period |
R |
2.145595983963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2822b1 |
Quadratic twists by: 17 |