Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
117670m |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
581887769522500 = 22 · 54 · 72 · 416 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29733,-1588519] |
[a1,a2,a3,a4,a6] |
Generators |
[1511994424:13782827363:6229504] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
9.2451697546248 |
L(r)(E,1)/r! |
Ω |
0.36866513995077 |
Real period |
R |
12.538708871774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035257 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70a2 |
Quadratic twists by: 41 |