Atkin-Lehner |
2- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
113216j |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-23789953089536 = -1 · 218 · 293 · 612 |
Discriminant |
Eigenvalues |
2- 1 -3 -4 1 -1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-162817,25233919] |
[a1,a2,a3,a4,a6] |
Generators |
[303:1952:1] |
Generators of the group modulo torsion |
j |
-1820898350896897/90751469 |
j-invariant |
L |
4.816516513275 |
L(r)(E,1)/r! |
Ω |
0.63602970386273 |
Real period |
R |
0.94659818849461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113216d1 28304e1 |
Quadratic twists by: -4 8 |