Atkin-Lehner |
3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725v |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1200960 |
Modular degree for the optimal curve |
Δ |
-552626138671875 = -1 · 36 · 59 · 173 · 79 |
Discriminant |
Eigenvalues |
2 3- 5- 2 6 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-341708,76777619] |
[a1,a2,a3,a4,a6] |
Generators |
[21412:7843:64] |
Generators of the group modulo torsion |
j |
-2259229673885696/282944583 |
j-invariant |
L |
19.584314890013 |
L(r)(E,1)/r! |
Ω |
0.49947300047877 |
Real period |
R |
3.2674964221233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725j1 |
Quadratic twists by: 5 |