Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070y |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
317916900 = 22 · 36 · 52 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-788,-8269] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:111:8] |
Generators of the group modulo torsion |
j |
74140932601/436100 |
j-invariant |
L |
10.256921299921 |
L(r)(E,1)/r! |
Ω |
0.901498300754 |
Real period |
R |
2.8444094934155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6230e1 |
Quadratic twists by: -3 |