Atkin-Lehner |
2- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67048c |
Isogeny class |
Conductor |
67048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-2.4736025973201E+23 |
Discriminant |
Eigenvalues |
2- -2 0 -3 4 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28890848,64373079184] |
[a1,a2,a3,a4,a6] |
j |
-107897432486570500/10007749895797 |
j-invariant |
L |
0.77122960010306 |
L(r)(E,1)/r! |
Ω |
0.096403699613166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3944a1 |
Quadratic twists by: 17 |