Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550fu |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
1190265394500 = 22 · 35 · 53 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4121,86888] |
[a1,a2,a3,a4,a6] |
Generators |
[18:127:1] |
Generators of the group modulo torsion |
j |
180457909451/27761292 |
j-invariant |
L |
6.403591227786 |
L(r)(E,1)/r! |
Ω |
0.82901792088187 |
Real period |
R |
0.19310774420162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550hz1 95550cm1 |
Quadratic twists by: 5 -7 |