Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
118336d |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
896218169344 = 218 · 434 |
Discriminant |
Eigenvalues |
2+ -1 1 3 0 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2465,-11231] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2752:1] |
Generators of the group modulo torsion |
j |
1849 |
j-invariant |
L |
7.1724707827296 |
L(r)(E,1)/r! |
Ω |
0.72200046182883 |
Real period |
R |
0.82784696627041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336v1 1849b1 118336l1 |
Quadratic twists by: -4 8 -43 |