Atkin-Lehner |
3+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12141a |
Isogeny class |
Conductor |
12141 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
692037 = 33 · 192 · 71 |
Discriminant |
Eigenvalues |
1 3+ 0 4 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1137,-14476] |
[a1,a2,a3,a4,a6] |
Generators |
[205730:1443317:2744] |
Generators of the group modulo torsion |
j |
6023600764875/25631 |
j-invariant |
L |
6.4142304736928 |
L(r)(E,1)/r! |
Ω |
0.82213217714786 |
Real period |
R |
7.801945541099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12141b2 |
Quadratic twists by: -3 |