Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400ba |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-550130227200 = -1 · 211 · 37 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1688,-45132] |
[a1,a2,a3,a4,a6] |
Generators |
[154:-1836:1] |
Generators of the group modulo torsion |
j |
-10395091970/10744731 |
j-invariant |
L |
6.3712795417003 |
L(r)(E,1)/r! |
Ω |
0.35762179674364 |
Real period |
R |
0.21209156338699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10200d1 81600gb1 61200bb1 20400j1 |
Quadratic twists by: -4 8 -3 5 |