Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368o |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-180278784 = -1 · 29 · 37 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 4 -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,646] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] |
Generators of the group modulo torsion |
j |
-8/483 |
j-invariant |
L |
5.1427746874972 |
L(r)(E,1)/r! |
Ω |
1.4366049373881 |
Real period |
R |
0.8949528422266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368s1 92736ek1 15456q1 |
Quadratic twists by: -4 8 -3 |