Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3042l |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-492804 = -1 · 22 · 36 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
4.3646651482099 |
L(r)(E,1)/r! |
Ω |
1.4491116126587 |
Real period |
R |
0.75298981632649 |
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 |
24336bo1 97344bf1 338a1 76050bs1 |
Quadratic twists by: -4 8 -3 5 |