Atkin-Lehner |
5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005t |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
317376 |
Modular degree for the optimal curve |
Δ |
-6284342914246025 = -1 · 52 · 1910 · 41 |
Discriminant |
Eigenvalues |
-1 -1 5- 3 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2715,3813322] |
[a1,a2,a3,a4,a6] |
j |
-361/1025 |
j-invariant |
L |
0.68073757568179 |
L(r)(E,1)/r! |
Ω |
0.34036879088121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005m1 |
Quadratic twists by: -19 |