Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bc |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-241602105578618880 = -1 · 230 · 38 · 5 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29157,-23570998] |
[a1,a2,a3,a4,a6] |
Generators |
[5014:355212:1] |
Generators of the group modulo torsion |
j |
918046641959/80912056320 |
j-invariant |
L |
4.1041724157702 |
L(r)(E,1)/r! |
Ω |
0.14856406915204 |
Real period |
R |
6.9064014589727 |
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 |
1710o3 54720ez3 4560r3 68400ef3 |
Quadratic twists by: -4 8 -3 5 |