Atkin-Lehner |
2+ 3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690f |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
694954687500 = 22 · 34 · 58 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2397,19809] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:138:1] [-32:271:1] |
Generators of the group modulo torsion |
j |
1524090939076441/694954687500 |
j-invariant |
L |
3.8763859012108 |
L(r)(E,1)/r! |
Ω |
0.81135803390962 |
Real period |
R |
0.29860321670606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520cs2 29070bh2 48450bs2 |
Quadratic twists by: -4 -3 5 |