Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cf |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
981982954074931200 = 221 · 32 · 52 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221801601,-1271511764001] |
[a1,a2,a3,a4,a6] |
Generators |
[515043870:107101921731:10648] |
Generators of the group modulo torsion |
j |
4603390551972799451373601/3745967689800 |
j-invariant |
L |
9.4583714044411 |
L(r)(E,1)/r! |
Ω |
0.039120859278816 |
Real period |
R |
15.110818725681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680du6 3990t5 |
Quadratic twists by: -4 8 |