Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800w |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-299008000 = -1 · 215 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -4 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-620,6000] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-8:1] [5:55:1] |
Generators of the group modulo torsion |
j |
-6434856/73 |
j-invariant |
L |
9.4003650104404 |
L(r)(E,1)/r! |
Ω |
1.7339984402331 |
Real period |
R |
0.67765091300903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800v1 58400q1 116800bb1 |
Quadratic twists by: -4 8 5 |