Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925bc |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
728089034765625 = 38 · 58 · 132 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22505,61872] |
[a1,a2,a3,a4,a6] |
Generators |
[-1058:7275:8] |
Generators of the group modulo torsion |
j |
110661134401/63920025 |
j-invariant |
L |
4.5802986830416 |
L(r)(E,1)/r! |
Ω |
0.43065993502917 |
Real period |
R |
2.6588836760552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963352 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39975i2 23985e2 |
Quadratic twists by: -3 5 |