Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608k |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
31523033088 = 212 · 39 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 0 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1848,29360] |
[a1,a2,a3,a4,a6] |
Generators |
[20:20:1] |
Generators of the group modulo torsion |
j |
233744896/10557 |
j-invariant |
L |
10.011838199266 |
L(r)(E,1)/r! |
Ω |
1.1587155727223 |
Real period |
R |
2.1601155727182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608h1 37536s1 |
Quadratic twists by: -4 -3 |