Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45024a |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9802985472 = 212 · 36 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-609,-3087] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:28:1] |
Generators of the group modulo torsion |
j |
6108415552/2393307 |
j-invariant |
L |
3.800372548045 |
L(r)(E,1)/r! |
Ω |
0.99363633873506 |
Real period |
R |
0.95617792946596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024f2 90048bu1 |
Quadratic twists by: -4 8 |