Atkin-Lehner |
2- 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
78694n |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
1125953752 = 23 · 74 · 11 · 732 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- 3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5293,147769] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:523:1] |
Generators of the group modulo torsion |
j |
6830340624625/468952 |
j-invariant |
L |
12.130542222292 |
L(r)(E,1)/r! |
Ω |
1.4693454250059 |
Real period |
R |
0.45865254058904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78694x1 |
Quadratic twists by: -7 |