Atkin-Lehner |
2- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13244b |
Isogeny class |
Conductor |
13244 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
30871022336 = 28 · 72 · 113 · 432 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7199,234950] |
[a1,a2,a3,a4,a6] |
Generators |
[7:430:1] |
Generators of the group modulo torsion |
j |
161175960690768/120589931 |
j-invariant |
L |
4.7741537057446 |
L(r)(E,1)/r! |
Ω |
1.1635791164468 |
Real period |
R |
1.3676633982923 |
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 |
52976bb2 119196j2 92708e2 |
Quadratic twists by: -4 -3 -7 |