Atkin-Lehner |
2- 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
14110i |
Isogeny class |
Conductor |
14110 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
534484090880 = 218 · 5 · 173 · 83 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 3 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2376,-27584] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:130:1] |
Generators of the group modulo torsion |
j |
1483455233259649/534484090880 |
j-invariant |
L |
5.5058302329304 |
L(r)(E,1)/r! |
Ω |
0.70430636586635 |
Real period |
R |
1.302896603847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
112880k1 126990bd1 70550f1 |
Quadratic twists by: -4 -3 5 |