Atkin-Lehner |
2+ 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92414d |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
10451718803456 = 212 · 76 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ -2 2 7- -4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24085,-1432224] |
[a1,a2,a3,a4,a6] |
j |
13132563308857/88838144 |
j-invariant |
L |
0.76678240180701 |
L(r)(E,1)/r! |
Ω |
0.38339115093614 |
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 |
1886a1 |
Quadratic twists by: -7 |