Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bz |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-266007714336 = -1 · 25 · 310 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-267,24849] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-375:1] |
Generators of the group modulo torsion |
j |
-42969774337/5428728864 |
j-invariant |
L |
7.7019174433835 |
L(r)(E,1)/r! |
Ω |
0.80389405822234 |
Real period |
R |
0.095807617479802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974be1 |
Quadratic twists by: -7 |