Atkin-Lehner |
2+ 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778i |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
6396408106057728 = 224 · 33 · 113 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50625,2096884] |
[a1,a2,a3,a4,a6] |
j |
10780240094482643/4805716082688 |
j-invariant |
L |
2.2810559199523 |
L(r)(E,1)/r! |
Ω |
0.38017597984102 |
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 |
74778bh1 |
Quadratic twists by: -11 |