Atkin-Lehner |
3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
6363b |
Isogeny class |
Conductor |
6363 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
292233501 = 310 · 72 · 101 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 0 3 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9336,-347207] |
[a1,a2,a3,a4,a6] |
Generators |
[-446:3:8] |
Generators of the group modulo torsion |
j |
123446480601088/400869 |
j-invariant |
L |
3.950199790278 |
L(r)(E,1)/r! |
Ω |
0.48569029834633 |
Real period |
R |
2.0332914841657 |
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 |
101808ba1 2121a1 44541d1 |
Quadratic twists by: -4 -3 -7 |