Atkin-Lehner |
5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18755b |
Isogeny class |
Conductor |
18755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-1372959775 = -1 · 52 · 116 · 31 |
Discriminant |
Eigenvalues |
1 2 5+ -4 11- 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123,1808] |
[a1,a2,a3,a4,a6] |
Generators |
[5376:73300:27] |
Generators of the group modulo torsion |
j |
-117649/775 |
j-invariant |
L |
6.7170576574031 |
L(r)(E,1)/r! |
Ω |
1.3098417164168 |
Real period |
R |
5.1281445484711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93775g1 155b1 |
Quadratic twists by: 5 -11 |