Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ev |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-17294403000000 = -1 · 26 · 3 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2042,-197588] |
[a1,a2,a3,a4,a6] |
Generators |
[2847:151900:1] |
Generators of the group modulo torsion |
j |
8000/147 |
j-invariant |
L |
5.948733326792 |
L(r)(E,1)/r! |
Ω |
0.33717640307552 |
Real period |
R |
4.4106981265792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600cw1 4704l1 16800bw1 |
Quadratic twists by: -4 5 -7 |