Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18400m |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
36800000000 = 212 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 3 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,463] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:100:1] |
Generators of the group modulo torsion |
j |
40000/23 |
j-invariant |
L |
2.8596705849606 |
L(r)(E,1)/r! |
Ω |
0.98679849668339 |
Real period |
R |
0.2414939654661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18400t1 36800bt1 18400n1 |
Quadratic twists by: -4 8 5 |