Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2135c |
Isogeny class |
Conductor |
2135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1628875732421875 = -1 · 518 · 7 · 61 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 0 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,29379,-108390] |
[a1,a2,a3,a4,a6] |
Generators |
[76332:1952261:1728] |
Generators of the group modulo torsion |
j |
2804270847833931776/1628875732421875 |
j-invariant |
L |
1.6809599965596 |
L(r)(E,1)/r! |
Ω |
0.28088836020734 |
Real period |
R |
2.9922208156272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34160p3 19215w3 10675b3 14945e3 |
Quadratic twists by: -4 -3 5 -7 |