Atkin-Lehner |
2- 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704bd |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
92561108631552 = 228 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116304,-15220800] |
[a1,a2,a3,a4,a6] |
j |
42476766863084497/22597926912 |
j-invariant |
L |
0.51706416936546 |
L(r)(E,1)/r! |
Ω |
0.25853208468271 |
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 |
2838e1 90816cf1 68112bu1 |
Quadratic twists by: -4 8 -3 |