Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3366j |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
3622798740160512 = 228 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52623,3646701] |
[a1,a2,a3,a4,a6] |
Generators |
[183:255:1] |
Generators of the group modulo torsion |
j |
22106889268753393/4969545596928 |
j-invariant |
L |
2.5676609135472 |
L(r)(E,1)/r! |
Ω |
0.41810684935577 |
Real period |
R |
3.0705798260702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26928be1 107712y1 1122k1 84150gd1 |
Quadratic twists by: -4 8 -3 5 |