Atkin-Lehner |
3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275o |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
9008332734375 = 36 · 57 · 13 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 -2 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-247730,-47396478] |
[a1,a2,a3,a4,a6] |
Generators |
[804:16110:1] |
Generators of the group modulo torsion |
j |
147608144916049/790855 |
j-invariant |
L |
4.2654957901582 |
L(r)(E,1)/r! |
Ω |
0.21399576593135 |
Real period |
R |
4.9831544228542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7475d1 13455k1 |
Quadratic twists by: -3 5 |