Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312ba |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
33554985648128 = 224 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9473,-222881] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2548:1] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
2.899238307051 |
L(r)(E,1)/r! |
Ω |
0.49822174100225 |
Real period |
R |
2.9095863030368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312cb1 1666l1 1088c1 |
Quadratic twists by: -4 8 -7 |