Atkin-Lehner |
2- 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970cf |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
34062336 |
Modular degree for the optimal curve |
Δ |
1.2793224806817E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-154051576,495447051056] |
[a1,a2,a3,a4,a6] |
j |
171469934851410369539/54255761718750000 |
j-invariant |
L |
2.6012916361998 |
L(r)(E,1)/r! |
Ω |
0.054193575592057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68970r1 |
Quadratic twists by: -11 |