Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3570m |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
103233690000000000 = 210 · 36 · 510 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-237723,-41868122] |
[a1,a2,a3,a4,a6] |
Generators |
[-316:1470:1] |
Generators of the group modulo torsion |
j |
1485712211163154851241/103233690000000000 |
j-invariant |
L |
3.1924789504951 |
L(r)(E,1)/r! |
Ω |
0.21715904656121 |
Real period |
R |
0.49003698764402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560cz2 114240h2 10710ba2 17850bl2 |
Quadratic twists by: -4 8 -3 5 |