Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848a |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-46221504 = -1 · 26 · 3 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -1 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,-213] |
[a1,a2,a3,a4,a6] |
Generators |
[6:21:1] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
3.3961675828589 |
L(r)(E,1)/r! |
Ω |
1.112338964049 |
Real period |
R |
1.5265884288079 |
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 |
22848cr1 357c1 68544bj1 |
Quadratic twists by: -4 8 -3 |