Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560g |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1459200 = 210 · 3 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30400,-2050300] |
[a1,a2,a3,a4,a6] |
Generators |
[1195:40860:1] |
Generators of the group modulo torsion |
j |
3034301922374404/1425 |
j-invariant |
L |
4.6007147968649 |
L(r)(E,1)/r! |
Ω |
0.36155965914338 |
Real period |
R |
6.3623176431866 |
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 |
2280b4 18240bu3 13680g4 22800a4 |
Quadratic twists by: -4 8 -3 5 |