Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
7470g |
Isogeny class |
Conductor |
7470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
178643892150 = 2 · 316 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7740,263250] |
[a1,a2,a3,a4,a6] |
Generators |
[45:45:1] |
Generators of the group modulo torsion |
j |
70347817391041/245053350 |
j-invariant |
L |
3.1838023532066 |
L(r)(E,1)/r! |
Ω |
1.0180789101821 |
Real period |
R |
1.5636324067636 |
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 |
59760z2 2490j2 37350bk2 |
Quadratic twists by: -4 -3 5 |