Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bm |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-415177499579065344 = -1 · 210 · 320 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14367893,-20958672787] |
[a1,a2,a3,a4,a6] |
j |
-3718690552005865823761/4706747606016 |
j-invariant |
L |
1.5508909025144 |
L(r)(E,1)/r! |
Ω |
0.038772272565471 |
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 |
22506k1 67518l1 |
Quadratic twists by: -3 -11 |