Atkin-Lehner |
2- 3+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38544j |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-6783744 = -1 · 28 · 3 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 11+ -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11,121] |
[a1,a2,a3,a4,a6] |
Generators |
[0:11:1] |
Generators of the group modulo torsion |
j |
524288/26499 |
j-invariant |
L |
6.2503811595204 |
L(r)(E,1)/r! |
Ω |
1.7984411745532 |
Real period |
R |
0.86886094023526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9636b1 115632bg1 |
Quadratic twists by: -4 -3 |