Atkin-Lehner |
2+ 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520o |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
9738552656250000 = 24 · 32 · 510 · 115 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-529596,-148443021] |
[a1,a2,a3,a4,a6] |
j |
1026688359994678545664/608659541015625 |
j-invariant |
L |
3.5396373447008 |
L(r)(E,1)/r! |
Ω |
0.17698186448925 |
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 |
56760b1 |
Quadratic twists by: -4 |