Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360q |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
4228320800000 = 28 · 55 · 114 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11- -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15900,760048] |
[a1,a2,a3,a4,a6] |
Generators |
[1926:84370:1] [-109:1100:1] |
Generators of the group modulo torsion |
j |
1736610544209616/16516878125 |
j-invariant |
L |
4.1791202767379 |
L(r)(E,1)/r! |
Ω |
0.78238926559546 |
Real period |
R |
0.13353711702437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720o2 66880h2 75240i2 41800c2 |
Quadratic twists by: -4 8 -3 5 |