Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800bw |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
300672000000000 = 216 · 34 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35008,-2367488] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:250:1] |
Generators of the group modulo torsion |
j |
74140932601/4698000 |
j-invariant |
L |
5.5043407514244 |
L(r)(E,1)/r! |
Ω |
0.35041153462006 |
Real period |
R |
1.9635272414021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4350u1 104400dm1 6960bl1 |
Quadratic twists by: -4 -3 5 |