Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3570m |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
31070538632700000 = 25 · 312 · 55 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3737723,-2781668122] |
[a1,a2,a3,a4,a6] |
Generators |
[-1116:670:1] |
Generators of the group modulo torsion |
j |
5774905528848578698851241/31070538632700000 |
j-invariant |
L |
3.1924789504951 |
L(r)(E,1)/r! |
Ω |
0.1085795232806 |
Real period |
R |
0.98007397528804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560cz4 114240h4 10710ba4 17850bl3 |
Quadratic twists by: -4 8 -3 5 |