Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12705m |
Isogeny class |
Conductor |
12705 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1012845712725 = 33 · 52 · 7 · 118 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-368953203,2727722241781] |
[a1,a2,a3,a4,a6] |
j |
3135316978843283198764801/571725 |
j-invariant |
L |
2.838718943897 |
L(r)(E,1)/r! |
Ω |
0.23655991199141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38115m6 63525r6 88935m6 1155m5 |
Quadratic twists by: -3 5 -7 -11 |