Atkin-Lehner |
2- 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45050k |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20959090156250 = 2 · 57 · 17 · 534 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24130,-1419753] |
[a1,a2,a3,a4,a6] |
Generators |
[-1649362:2708965:17576] |
Generators of the group modulo torsion |
j |
99439464869289/1341381770 |
j-invariant |
L |
8.2066833312583 |
L(r)(E,1)/r! |
Ω |
0.38336827787386 |
Real period |
R |
10.703393844644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010a3 |
Quadratic twists by: 5 |