Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600co |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
107421875000000 = 26 · 516 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26408,1565938] |
[a1,a2,a3,a4,a6] |
Generators |
[186:7859:8] |
Generators of the group modulo torsion |
j |
2036792051776/107421875 |
j-invariant |
L |
3.7143985571228 |
L(r)(E,1)/r! |
Ω |
0.58661578908391 |
Real period |
R |
6.331910300136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17600bu1 8800c2 3520ba1 |
Quadratic twists by: -4 8 5 |