Atkin-Lehner |
3+ 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725c |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7596288 |
Modular degree for the optimal curve |
Δ |
-9.0055167675018E+22 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,10700217,-5196076657] |
[a1,a2,a3,a4,a6] |
Generators |
[9757:1013887:1] |
Generators of the group modulo torsion |
j |
8671243885657987383296/5763530731201171875 |
j-invariant |
L |
3.783135893643 |
L(r)(E,1)/r! |
Ω |
0.061076397145868 |
Real period |
R |
7.7426307162618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999960354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20145h1 |
Quadratic twists by: 5 |