Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400hf |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
11714560 |
Modular degree for the optimal curve |
Δ |
-6.3924738552914E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6897607,-9970075143] |
[a1,a2,a3,a4,a6] |
j |
70884132211471150144/124853004986159763 |
j-invariant |
L |
3.7088491336937 |
L(r)(E,1)/r! |
Ω |
0.057950766827587 |
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 |
110400iz1 55200cw1 110400iy1 |
Quadratic twists by: -4 8 5 |