Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646dc |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
2041778253006 = 2 · 312 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3956,-65671] |
[a1,a2,a3,a4,a6] |
Generators |
[-36090:188131:1000] |
Generators of the group modulo torsion |
j |
112425913/33534 |
j-invariant |
L |
14.636737440671 |
L(r)(E,1)/r! |
Ω |
0.61585375933647 |
Real period |
R |
5.9416449331612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999766015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bf1 119646cg1 |
Quadratic twists by: -3 17 |