Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400dk |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
-1343236800 = -1 · 26 · 3 · 52 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 0 5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,257,863] |
[a1,a2,a3,a4,a6] |
j |
1168724480/839523 |
j-invariant |
L |
1.9361487207814 |
L(r)(E,1)/r! |
Ω |
0.96807426487714 |
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 |
110400bp1 55200e1 110400cr1 |
Quadratic twists by: -4 8 5 |