Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184bc |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-96276102434164224 = -1 · 29 · 312 · 115 · 133 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37077,-14673454] |
[a1,a2,a3,a4,a6] |
j |
15102191874232/257941375263 |
j-invariant |
L |
1.6457379576392 |
L(r)(E,1)/r! |
Ω |
0.16457379576348 |
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 |
41184y1 82368dz1 13728a1 |
Quadratic twists by: -4 8 -3 |