Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fu |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-121651200000000 = -1 · 220 · 33 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-530463] |
[a1,a2,a3,a4,a6] |
j |
-625/1188 |
j-invariant |
L |
1.5983877044837 |
L(r)(E,1)/r! |
Ω |
0.266397950572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800dq1 13200cr1 52800hc1 |
Quadratic twists by: -4 8 5 |