Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518t |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-14184339930875466 = -1 · 2 · 317 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11- -3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90954,-11989994] |
[a1,a2,a3,a4,a6] |
j |
-64432972729/10983114 |
j-invariant |
L |
0.27237424171949 |
L(r)(E,1)/r! |
Ω |
0.13618712293806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506bb1 558h1 |
Quadratic twists by: -3 -11 |