Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12705i |
Isogeny class |
Conductor |
12705 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6189612688875 = -1 · 3 · 53 · 7 · 119 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-101801,12468605] |
[a1,a2,a3,a4,a6] |
Generators |
[51:2722:1] |
Generators of the group modulo torsion |
j |
-65860951343104/3493875 |
j-invariant |
L |
4.1614813986955 |
L(r)(E,1)/r! |
Ω |
0.71260487255454 |
Real period |
R |
2.9199080436943 |
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 |
38115x2 63525m2 88935bh2 1155j2 |
Quadratic twists by: -3 5 -7 -11 |