Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3146i |
Isogeny class |
Conductor |
3146 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2800 |
Modular degree for the optimal curve |
Δ |
-2947877504 = -1 · 27 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ -3 -1 -1 11- 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-325,-3371] |
[a1,a2,a3,a4,a6] |
Generators |
[25:48:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
1.2976862569908 |
L(r)(E,1)/r! |
Ω |
0.54394371007166 |
Real period |
R |
1.1928497682415 |
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 |
25168bp1 100672y1 28314cb1 78650bz1 |
Quadratic twists by: -4 8 -3 5 |