Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880dt |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-125737920 = -1 · 26 · 36 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123,124] |
[a1,a2,a3,a4,a6] |
Generators |
[24:130:1] |
Generators of the group modulo torsion |
j |
4410944/2695 |
j-invariant |
L |
7.8210081133658 |
L(r)(E,1)/r! |
Ω |
1.1433022992748 |
Real period |
R |
3.4203587705518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880bu1 12320a1 |
Quadratic twists by: -4 -3 |