Atkin-Lehner |
2+ 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848i |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-479808 = -1 · 26 · 32 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,18] |
[a1,a2,a3,a4,a6] |
j |
6644672/7497 |
j-invariant |
L |
1.9649031640448 |
L(r)(E,1)/r! |
Ω |
1.9649031640448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848bo1 11424h2 68544bd1 |
Quadratic twists by: -4 8 -3 |