Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848t |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-5218222915584 = -1 · 214 · 33 · 74 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11989,521101] |
[a1,a2,a3,a4,a6] |
Generators |
[60:119:1] |
Generators of the group modulo torsion |
j |
-11632923639808/318495051 |
j-invariant |
L |
6.1046501173912 |
L(r)(E,1)/r! |
Ω |
0.76308565940279 |
Real period |
R |
0.66666282722974 |
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 |
22848cq1 1428e1 68544cf1 |
Quadratic twists by: -4 8 -3 |