Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144da |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
8945664 |
Modular degree for the optimal curve |
Δ |
21927272666112 = 210 · 314 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235959789,-1395177928893] |
[a1,a2,a3,a4,a6] |
j |
1418854149881269000523696128/21413352213 |
j-invariant |
L |
0.53928461468349 |
L(r)(E,1)/r! |
Ω |
0.038520334941389 |
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 |
78144f1 19536c1 |
Quadratic twists by: -4 8 |