Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bu |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1465266529440000 = 28 · 34 · 54 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59781,5291019] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-1876:1] [-183:3276:1] |
Generators of the group modulo torsion |
j |
200828550012481/12454560000 |
j-invariant |
L |
10.668792713916 |
L(r)(E,1)/r! |
Ω |
0.47026349018415 |
Real period |
R |
1.4179275205028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
930o2 |
Quadratic twists by: -7 |