Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40204d |
Isogeny class |
Conductor |
40204 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-137506572298849024 = -1 · 28 · 193 · 238 |
Discriminant |
Eigenvalues |
2- -2 3 1 -3 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83229,-20120417] |
[a1,a2,a3,a4,a6] |
Generators |
[3018:12167:8] |
Generators of the group modulo torsion |
j |
-1682464768/3628411 |
j-invariant |
L |
4.8142242700977 |
L(r)(E,1)/r! |
Ω |
0.13167554821036 |
Real period |
R |
3.0467718668668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1748f1 |
Quadratic twists by: -23 |