Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fo |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9806237805772800 = 216 · 38 · 52 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53921,707679] |
[a1,a2,a3,a4,a6] |
Generators |
[274:2565:1] |
Generators of the group modulo torsion |
j |
264560893944484/149631314175 |
j-invariant |
L |
9.2769918423777 |
L(r)(E,1)/r! |
Ω |
0.35157688427151 |
Real period |
R |
0.82458775637362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680d4 31920k4 |
Quadratic twists by: -4 8 |