Atkin-Lehner |
2+ 3+ 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682j |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-6753483594 = -1 · 2 · 33 · 112 · 13 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 11- 13- 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7743,264223] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-31:1] |
Generators of the group modulo torsion |
j |
-1901600466436971/250129022 |
j-invariant |
L |
6.4360643886571 |
L(r)(E,1)/r! |
Ω |
1.2833745293532 |
Real period |
R |
1.2537385315996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bb1 |
Quadratic twists by: -3 |