Atkin-Lehner |
2+ 11+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68816c |
Isogeny class |
Conductor |
68816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
-3719023088 = -1 · 24 · 112 · 174 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -4 4 11+ -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,340,-1561] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] |
Generators of the group modulo torsion |
j |
270871003904/232438943 |
j-invariant |
L |
5.5487708444802 |
L(r)(E,1)/r! |
Ω |
0.77171668833041 |
Real period |
R |
0.89877070941777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34408e1 |
Quadratic twists by: -4 |