Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642j |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13200 |
Modular degree for the optimal curve |
Δ |
-4917257604 = -1 · 22 · 35 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -5 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-711,-8343] |
[a1,a2,a3,a4,a6] |
Generators |
[38:127:1] |
Generators of the group modulo torsion |
j |
-338608873/41796 |
j-invariant |
L |
3.3463692698792 |
L(r)(E,1)/r! |
Ω |
0.45901999565234 |
Real period |
R |
3.6451236346725 |
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 |
101136cq1 37926cb1 258c1 |
Quadratic twists by: -4 -3 -7 |