Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368bw |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-57541870485504 = -1 · 222 · 39 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 3 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61563,-5890646] |
[a1,a2,a3,a4,a6] |
Generators |
[222635:5174784:343] |
Generators of the group modulo torsion |
j |
-8641627880761/19270656 |
j-invariant |
L |
7.6963263864763 |
L(r)(E,1)/r! |
Ω |
0.15152405669569 |
Real period |
R |
6.3490961200797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999775913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12546o1 33456q1 |
Quadratic twists by: -4 -3 |