Atkin-Lehner |
3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5307b |
Isogeny class |
Conductor |
5307 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
2808 |
Modular degree for the optimal curve |
Δ |
-29282969907 = -1 · 39 · 293 · 61 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -2 1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,712,3843] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1120:1] |
Generators of the group modulo torsion |
j |
39914029109375/29282969907 |
j-invariant |
L |
2.7317891273087 |
L(r)(E,1)/r! |
Ω |
0.75102798621147 |
Real period |
R |
0.13471851507944 |
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 |
84912p1 15921a1 |
Quadratic twists by: -4 -3 |