Atkin-Lehner |
2+ 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690k |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1601175600 = 24 · 36 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1574,23816] |
[a1,a2,a3,a4,a6] |
Generators |
[213:-3167:1] [-12:208:1] |
Generators of the group modulo torsion |
j |
430864987260889/1601175600 |
j-invariant |
L |
4.586121616207 |
L(r)(E,1)/r! |
Ω |
1.508377506995 |
Real period |
R |
0.25336946459245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520bi2 29070bq2 48450bi2 |
Quadratic twists by: -4 -3 5 |