Atkin-Lehner |
2+ 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
23450i |
Isogeny class |
Conductor |
23450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
4596200000000 = 29 · 58 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 1 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6242,160916] |
[a1,a2,a3,a4,a6] |
Generators |
[25:129:1] |
Generators of the group modulo torsion |
j |
68861123865/11766272 |
j-invariant |
L |
3.0660804017035 |
L(r)(E,1)/r! |
Ω |
0.73774989711623 |
Real period |
R |
4.1559889248218 |
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 |
23450n1 |
Quadratic twists by: 5 |