Atkin-Lehner |
2+ 3+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650p |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
404544 |
Modular degree for the optimal curve |
Δ |
8988457623750 = 2 · 32 · 54 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-83825,-9375225] |
[a1,a2,a3,a4,a6] |
j |
104225137397715625/14381532198 |
j-invariant |
L |
1.6834892014404 |
L(r)(E,1)/r! |
Ω |
0.28058153410572 |
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 |
67650ch1 |
Quadratic twists by: 5 |