Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440bb |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4545082886400 = 28 · 38 · 52 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59223,5546378] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:3240:1] [34:1890:1] |
Generators of the group modulo torsion |
j |
123091319776336/24354225 |
j-invariant |
L |
11.121531492318 |
L(r)(E,1)/r! |
Ω |
0.75183981629637 |
Real period |
R |
3.6981053852838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984281 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480x2 |
Quadratic twists by: -3 |