Atkin-Lehner |
2+ 3- 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682m |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-328044453553674 = -1 · 2 · 315 · 112 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 11+ 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54765,5022999] |
[a1,a2,a3,a4,a6] |
Generators |
[147:291:1] |
Generators of the group modulo torsion |
j |
-24917812899967441/449992391706 |
j-invariant |
L |
5.0005002432104 |
L(r)(E,1)/r! |
Ω |
0.54256637379336 |
Real period |
R |
1.1520480502169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999577545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894bd1 |
Quadratic twists by: -3 |