Atkin-Lehner |
2- 3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bv |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
-458299339416000 = -1 · 26 · 38 · 53 · 194 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24422,-1787979] |
[a1,a2,a3,a4,a6] |
Generators |
[221:1779:1] |
Generators of the group modulo torsion |
j |
-2209648495828249/628668504000 |
j-invariant |
L |
14.279757788136 |
L(r)(E,1)/r! |
Ω |
0.18817929927243 |
Real period |
R |
2.107882959207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190a1 |
Quadratic twists by: -3 |