Atkin-Lehner |
2- 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950n |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-11647347938000000 = -1 · 27 · 56 · 172 · 674 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22680,5361947] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:2605:1] |
Generators of the group modulo torsion |
j |
-82568593103625/745430268032 |
j-invariant |
L |
8.2651994065215 |
L(r)(E,1)/r! |
Ω |
0.34403952304244 |
Real period |
R |
1.7159987345552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2278a2 |
Quadratic twists by: 5 |