Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gi |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
361758720000000 = 226 · 3 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20033,-588063] |
[a1,a2,a3,a4,a6] |
Generators |
[-19218:149975:216] |
Generators of the group modulo torsion |
j |
217081801/88320 |
j-invariant |
L |
5.8060981132039 |
L(r)(E,1)/r! |
Ω |
0.41580709724788 |
Real period |
R |
6.981720820702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999598724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400cw1 27600cw1 22080cm1 |
Quadratic twists by: -4 8 5 |