Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fr |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4718592 |
Modular degree for the optimal curve |
Δ |
-2.7738979172352E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3023700,-1524962000] |
[a1,a2,a3,a4,a6] |
Generators |
[7620635025666:-480494285750272:2400721219] |
Generators of the group modulo torsion |
j |
1023887723039/928972800 |
j-invariant |
L |
5.6311553089682 |
L(r)(E,1)/r! |
Ω |
0.078671741459987 |
Real period |
R |
17.894466366427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999694417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800lv1 3150bk1 33600da1 20160ce1 |
Quadratic twists by: -4 8 -3 5 |