Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fp |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2421646295040 = 217 · 34 · 5 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16801,-840481] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:48:1] |
Generators of the group modulo torsion |
j |
4001704635602/18475695 |
j-invariant |
L |
6.6725032719278 |
L(r)(E,1)/r! |
Ω |
0.41945393976185 |
Real period |
R |
0.99422466705093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680c3 31920j3 |
Quadratic twists by: -4 8 |