Atkin-Lehner |
2- 3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
4686b |
Isogeny class |
Conductor |
4686 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
248640 |
Modular degree for the optimal curve |
Δ |
-2.1719903722415E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,155738,-708607069] |
[a1,a2,a3,a4,a6] |
Generators |
[1633:61663:1] |
Generators of the group modulo torsion |
j |
417741207055683511967/217199037224152203264 |
j-invariant |
L |
5.374372853728 |
L(r)(E,1)/r! |
Ω |
0.082963905306 |
Real period |
R |
1.0796608545016 |
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 |
37488ba1 14058d1 117150u1 51546b1 |
Quadratic twists by: -4 -3 5 -11 |