Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544ef |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
883008 |
Modular degree for the optimal curve |
Δ |
-479222649631488 = -1 · 28 · 3 · 710 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-358549,82523615] |
[a1,a2,a3,a4,a6] |
Generators |
[9489:5734:27] |
Generators of the group modulo torsion |
j |
-70493667328/6627 |
j-invariant |
L |
8.0900887220508 |
L(r)(E,1)/r! |
Ω |
0.5024087718827 |
Real period |
R |
4.0256506178858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636f1 110544bt1 |
Quadratic twists by: -4 -7 |