Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448br |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-968341138440192 = -1 · 218 · 310 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 3 11- -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32763,2729770] |
[a1,a2,a3,a4,a6] |
j |
-1302528459961/324295488 |
j-invariant |
L |
5.6590664986248 |
L(r)(E,1)/r! |
Ω |
0.47158887469206 |
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 |
9306k1 24816t1 |
Quadratic twists by: -4 -3 |