Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400da |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-2173003200000000 = -1 · 212 · 310 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2967,-2240937] |
[a1,a2,a3,a4,a6] |
j |
45118016/33953175 |
j-invariant |
L |
4.3209041972958 |
L(r)(E,1)/r! |
Ω |
0.21604525683925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400be1 55200c1 22080i1 |
Quadratic twists by: -4 8 5 |