Atkin-Lehner |
3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12675u |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.97193311103E+23 |
Discriminant |
Eigenvalues |
-2 3+ 5- -3 5 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,16569042,-3754980682] |
[a1,a2,a3,a4,a6] |
Generators |
[725914:218884909:8] |
Generators of the group modulo torsion |
j |
24288219136/14348907 |
j-invariant |
L |
2.0441521890232 |
L(r)(E,1)/r! |
Ω |
0.056938447078465 |
Real period |
R |
8.9752719555481 |
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 |
38025cz2 12675bm2 12675t2 |
Quadratic twists by: -3 5 13 |