Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400w |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
-5.1209754063667E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7185633,-13169800863] |
[a1,a2,a3,a4,a6] |
j |
-10017490085065009/12502381363200 |
j-invariant |
L |
1.5850493221269 |
L(r)(E,1)/r! |
Ω |
0.044029145591304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400hn1 3450j1 22080bi1 |
Quadratic twists by: -4 8 5 |