Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100t |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1513181250000 = 24 · 34 · 58 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24533,1469688] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1050:1] |
Generators of the group modulo torsion |
j |
6532108386304/6052725 |
j-invariant |
L |
8.8601335514619 |
L(r)(E,1)/r! |
Ω |
0.84341151938425 |
Real period |
R |
1.31313914568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620b1 |
Quadratic twists by: 5 |