Atkin-Lehner |
2- 3+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650cf |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-33193138176000 = -1 · 214 · 33 · 53 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25698,-1620369] |
[a1,a2,a3,a4,a6] |
j |
-15014564146410101/265545105408 |
j-invariant |
L |
5.2734750083016 |
L(r)(E,1)/r! |
Ω |
0.18833839380472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67650bn1 |
Quadratic twists by: 5 |