Atkin-Lehner |
2- 3- 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390bh |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-534219173437500 = -1 · 22 · 38 · 58 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-153698,-23180803] |
[a1,a2,a3,a4,a6] |
j |
-550805392667142361/732810937500 |
j-invariant |
L |
0.48220081265585 |
L(r)(E,1)/r! |
Ω |
0.12055024207593 |
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 |
38130o1 |
Quadratic twists by: -3 |