Atkin-Lehner |
7- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12341c |
Isogeny class |
Conductor |
12341 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-383510680763 = -1 · 76 · 41 · 433 |
Discriminant |
Eigenvalues |
0 1 0 7- -6 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1637,15981] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:24:1] [75:752:1] |
Generators of the group modulo torsion |
j |
484846678016000/383510680763 |
j-invariant |
L |
6.1426389970165 |
L(r)(E,1)/r! |
Ω |
0.61195847762836 |
Real period |
R |
0.55764849173919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111069d2 86387a2 |
Quadratic twists by: -3 -7 |