Atkin-Lehner |
2- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
61268b |
Isogeny class |
Conductor |
61268 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-17357422418176 = -1 · 28 · 176 · 532 |
Discriminant |
Eigenvalues |
2- -2 -2 0 4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3564,-217724] |
[a1,a2,a3,a4,a6] |
Generators |
[96:578:1] [556:13038:1] |
Generators of the group modulo torsion |
j |
-810448/2809 |
j-invariant |
L |
6.8473062465544 |
L(r)(E,1)/r! |
Ω |
0.28376771246342 |
Real period |
R |
4.0216615831725 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
212b1 |
Quadratic twists by: 17 |