Atkin-Lehner |
2- 3- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390bu |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
50472172755697500 = 22 · 318 · 54 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146057,-18531219] |
[a1,a2,a3,a4,a6] |
Generators |
[-1442:11787:8] |
Generators of the group modulo torsion |
j |
472672705032827209/69234804877500 |
j-invariant |
L |
11.370058613259 |
L(r)(E,1)/r! |
Ω |
0.2466034806754 |
Real period |
R |
2.8816651841144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130e2 |
Quadratic twists by: -3 |