Atkin-Lehner |
2- 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
110550cc |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
3240000 |
Modular degree for the optimal curve |
Δ |
2801779200000000 = 215 · 33 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3214013,-2218051983] |
[a1,a2,a3,a4,a6] |
j |
9399539408975758705/7172554752 |
j-invariant |
L |
10.147993046939 |
L(r)(E,1)/r! |
Ω |
0.11275548220592 |
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 |
110550h1 |
Quadratic twists by: 5 |