Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032a |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2770869248 = -1 · 210 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -6 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,245,2058] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:36:1] [1:48:1] |
Generators of the group modulo torsion |
j |
13500/23 |
j-invariant |
L |
6.8612350073289 |
L(r)(E,1)/r! |
Ω |
0.9819326484496 |
Real period |
R |
3.4937401349077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9016f1 72128bb1 368a1 |
Quadratic twists by: -4 8 -7 |