Atkin-Lehner |
2+ 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
13706g |
Isogeny class |
Conductor |
13706 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
-103425476 = -1 · 22 · 74 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11- -2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44,484] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:12:1] [0:22:1] |
Generators of the group modulo torsion |
j |
-9759185353/103425476 |
j-invariant |
L |
3.7379951494354 |
L(r)(E,1)/r! |
Ω |
1.6070551283348 |
Real period |
R |
0.14537441355973 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109648h1 123354by1 95942p1 |
Quadratic twists by: -4 -3 -7 |