Atkin-Lehner |
5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005s |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
10880095073140625 = 56 · 198 · 41 |
Discriminant |
Eigenvalues |
1 -2 5- -2 -4 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-126358,16533243] |
[a1,a2,a3,a4,a6] |
j |
4742478770401/231265625 |
j-invariant |
L |
1.1994840943165 |
L(r)(E,1)/r! |
Ω |
0.39982804324865 |
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 |
3895f1 |
Quadratic twists by: -19 |