Atkin-Lehner |
2- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13244b |
Isogeny class |
Conductor |
13244 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6192 |
Modular degree for the optimal curve |
Δ |
8531837776 = 24 · 7 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-544,2025] |
[a1,a2,a3,a4,a6] |
Generators |
[0:45:1] |
Generators of the group modulo torsion |
j |
1112757239808/533239861 |
j-invariant |
L |
4.7741537057446 |
L(r)(E,1)/r! |
Ω |
1.1635791164468 |
Real period |
R |
2.7353267965845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52976bb1 119196j1 92708e1 |
Quadratic twists by: -4 -3 -7 |