Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400dh |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1685448000000 = 29 · 36 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,-58750] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:164:1] |
Generators of the group modulo torsion |
j |
941192/289 |
j-invariant |
L |
5.0853183888247 |
L(r)(E,1)/r! |
Ω |
0.62785024521433 |
Real period |
R |
4.0497861301197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999195769 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400df2 13600e2 4896i2 |
Quadratic twists by: -4 -3 5 |