Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792ba |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
31535859627216 = 24 · 36 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10747,-336610] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1035:1] |
Generators of the group modulo torsion |
j |
212629504/48843 |
j-invariant |
L |
9.9747317913092 |
L(r)(E,1)/r! |
Ω |
0.47663979523602 |
Real period |
R |
3.4878650818468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78792v1 |
Quadratic twists by: -7 |