Atkin-Lehner |
2- 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310ba |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-12155000000 = -1 · 26 · 57 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- -5 11+ 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1870,30795] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-37:1] |
Generators of the group modulo torsion |
j |
-723207709018081/12155000000 |
j-invariant |
L |
5.4116366835045 |
L(r)(E,1)/r! |
Ω |
1.270449854091 |
Real period |
R |
0.1014195814573 |
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 |
121550b1 |
Quadratic twists by: 5 |