Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930f |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-2516610113000 = -1 · 23 · 53 · 17 · 236 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 0 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1334,-78704] |
[a1,a2,a3,a4,a6] |
Generators |
[122980:269359:2197] |
Generators of the group modulo torsion |
j |
-1771561/17000 |
j-invariant |
L |
4.4538424590519 |
L(r)(E,1)/r! |
Ω |
0.3445552294211 |
Real period |
R |
6.4631764104341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
170d1 |
Quadratic twists by: -23 |