Atkin-Lehner |
2- 7- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674bb |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2706048 |
Modular degree for the optimal curve |
Δ |
-1008067867361134216 = -1 · 23 · 76 · 139 · 101 |
Discriminant |
Eigenvalues |
2- 2 1 7- 4 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-957755,-364388207] |
[a1,a2,a3,a4,a6] |
Generators |
[2822049:167926780:729] |
Generators of the group modulo torsion |
j |
-825845457115463329/8568435493384 |
j-invariant |
L |
19.290135241874 |
L(r)(E,1)/r! |
Ω |
0.076258340569937 |
Real period |
R |
4.6844020627635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2626f1 |
Quadratic twists by: -7 |