Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194b |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30406,2038152] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:1933:1] |
Generators of the group modulo torsion |
j |
539258169625/848 |
j-invariant |
L |
1.7509719398704 |
L(r)(E,1)/r! |
Ω |
1.1664006633381 |
Real period |
R |
2.2517630453749 |
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 |
41552s1 46746bb1 129850bq1 5194g1 |
Quadratic twists by: -4 -3 5 -7 |