Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690bt |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
1021440 |
Modular degree for the optimal curve |
Δ |
6758175198412800 = 219 · 36 · 52 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-777242,263908441] |
[a1,a2,a3,a4,a6] |
Generators |
[-239:20999:1] |
Generators of the group modulo torsion |
j |
100709966211849/13107200 |
j-invariant |
L |
10.931680017377 |
L(r)(E,1)/r! |
Ω |
0.40572943738559 |
Real period |
R |
0.11817226103775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410c1 75690r1 |
Quadratic twists by: -3 29 |