Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968r |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12553012505792512 = 212 · 139 · 172 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 6 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31684627,-68646912750] |
[a1,a2,a3,a4,a6] |
Generators |
[-4266998944455:-10413072566:1312932375] |
Generators of the group modulo torsion |
j |
177930109857804849/634933 |
j-invariant |
L |
3.7468757851104 |
L(r)(E,1)/r! |
Ω |
0.063633733539918 |
Real period |
R |
14.720477554379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2873b2 3536i2 |
Quadratic twists by: -4 13 |