Atkin-Lehner |
2+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13832b |
Isogeny class |
Conductor |
13832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-157964622660208 = -1 · 24 · 72 · 139 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 0 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-182684,-29999035] |
[a1,a2,a3,a4,a6] |
j |
-42141272308261088512/9872788916263 |
j-invariant |
L |
1.8473879718926 |
L(r)(E,1)/r! |
Ω |
0.11546174824329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27664e1 110656i1 124488bg1 96824b1 |
Quadratic twists by: -4 8 -3 -7 |