Atkin-Lehner |
2+ 3+ 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18942d |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-4455613008 = -1 · 24 · 36 · 7 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-436,4576] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:56:1] [4:52:1] |
Generators of the group modulo torsion |
j |
-9198958063177/4455613008 |
j-invariant |
L |
4.2611901153894 |
L(r)(E,1)/r! |
Ω |
1.2861123367147 |
Real period |
R |
0.27610276812174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56826v1 |
Quadratic twists by: -3 |