Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600bi |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
15488000 = 210 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813,-9197] |
[a1,a2,a3,a4,a6] |
Generators |
[63:440:1] |
Generators of the group modulo torsion |
j |
464857088/121 |
j-invariant |
L |
3.0086527163522 |
L(r)(E,1)/r! |
Ω |
0.89400345167201 |
Real period |
R |
1.6826851790814 |
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 |
17600cv1 2200c1 17600bg1 |
Quadratic twists by: -4 8 5 |