Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304ba |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15104786688 = -1 · 28 · 38 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,609,1226] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4554:1] |
Generators of the group modulo torsion |
j |
133846832/80937 |
j-invariant |
L |
4.5732875236355 |
L(r)(E,1)/r! |
Ω |
0.76472049518812 |
Real period |
R |
2.9901693182729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14076e2 18768s2 |
Quadratic twists by: -4 -3 |