Atkin-Lehner |
2- 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050bo |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-99403200000000 = -1 · 212 · 34 · 58 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5187,-455469] |
[a1,a2,a3,a4,a6] |
j |
987750361079/6361804800 |
j-invariant |
L |
3.5864408859558 |
L(r)(E,1)/r! |
Ω |
0.29887006140768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010h1 |
Quadratic twists by: 5 |