Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256bh |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-159185385216 = -1 · 28 · 33 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1089,-13310] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-242:1] [38:288:1] |
Generators of the group modulo torsion |
j |
11664/13 |
j-invariant |
L |
10.220729986259 |
L(r)(E,1)/r! |
Ω |
0.55220408016232 |
Real period |
R |
2.3136215291668 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113256g1 936a1 |
Quadratic twists by: -3 -11 |