Atkin-Lehner |
2- 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14570g |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
17600 |
Modular degree for the optimal curve |
Δ |
-30555504640 = -1 · 222 · 5 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 -4 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,302,-8239] |
[a1,a2,a3,a4,a6] |
Generators |
[17:31:1] [33:175:1] |
Generators of the group modulo torsion |
j |
3055568514831/30555504640 |
j-invariant |
L |
8.0277438430162 |
L(r)(E,1)/r! |
Ω |
0.57955417231629 |
Real period |
R |
0.6296174971039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116560n1 72850e1 |
Quadratic twists by: -4 5 |