Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134t |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20321280 |
Modular degree for the optimal curve |
Δ |
-8.3284569592502E+22 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -1 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-158069273,-765064955140] |
[a1,a2,a3,a4,a6] |
Generators |
[1712579517:639004155422:12167] |
Generators of the group modulo torsion |
j |
-3866805342966045361/737311113216 |
j-invariant |
L |
7.2268953390144 |
L(r)(E,1)/r! |
Ω |
0.021288875755235 |
Real period |
R |
10.608379791435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134l1 5586t1 |
Quadratic twists by: -7 -19 |