Atkin-Lehner |
2- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280k |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-81998643200 = -1 · 223 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -4 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1376,-24460] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1280:1] [47:130:1] |
Generators of the group modulo torsion |
j |
-70393838689/20019200 |
j-invariant |
L |
8.6436107457164 |
L(r)(E,1)/r! |
Ω |
0.38622218834226 |
Real period |
R |
2.797486462008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910j1 125120cp1 |
Quadratic twists by: -4 8 |