Atkin-Lehner |
2- 3+ 7+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115038t |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2248704 |
Modular degree for the optimal curve |
Δ |
235229742687227904 = 212 · 39 · 74 · 114 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-711776,-229774589] |
[a1,a2,a3,a4,a6] |
j |
2026104625997034939/11950909042688 |
j-invariant |
L |
3.9462015602105 |
L(r)(E,1)/r! |
Ω |
0.16442507351045 |
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 |
115038d1 |
Quadratic twists by: -3 |