Atkin-Lehner |
2+ 3+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838j |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-2580861610782 = -1 · 2 · 310 · 73 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20570,-1146774] |
[a1,a2,a3,a4,a6] |
Generators |
[197:1481:1] |
Generators of the group modulo torsion |
j |
-2806502644741375/7524377874 |
j-invariant |
L |
2.8201369889992 |
L(r)(E,1)/r! |
Ω |
0.19929137031258 |
Real period |
R |
1.1792352666895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000150226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838v1 |
Quadratic twists by: -7 |