Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17914b |
Isogeny class |
Conductor |
17914 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-15251475834243584 = -1 · 29 · 139 · 532 |
Discriminant |
Eigenvalues |
2+ 1 3 1 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8792,5949478] |
[a1,a2,a3,a4,a6] |
Generators |
[6124:476137:1] |
Generators of the group modulo torsion |
j |
-15568817473/3159742976 |
j-invariant |
L |
5.3790685864847 |
L(r)(E,1)/r! |
Ω |
0.32113845570075 |
Real period |
R |
4.1874995745582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1378d1 |
Quadratic twists by: 13 |