Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194o |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-49883176 = -1 · 23 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 2 -3 7- -3 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,48,-295] |
[a1,a2,a3,a4,a6] |
Generators |
[27:133:1] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
6.4501338607514 |
L(r)(E,1)/r! |
Ω |
1.015484730458 |
Real period |
R |
1.0586297143438 |
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 |
41552bm1 46746t1 129850n1 106a1 |
Quadratic twists by: -4 -3 5 -7 |