Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400bw |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-5.301960966144E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1069408,-550930688] |
[a1,a2,a3,a4,a6] |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
2.3301922682297 |
L(r)(E,1)/r! |
Ω |
0.072818508382178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2550ba1 81600hz1 61200fq1 4080ba1 |
Quadratic twists by: -4 8 -3 5 |