Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090ct |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
6676992 |
Modular degree for the optimal curve |
Δ |
-5.7099440947004E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9471756,-11279562840] |
[a1,a2,a3,a4,a6] |
Generators |
[172410:71490930:1] |
Generators of the group modulo torsion |
j |
-1200031184926849/7291370520 |
j-invariant |
L |
12.134917905811 |
L(r)(E,1)/r! |
Ω |
0.043013443580201 |
Real period |
R |
7.8366442035856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989028 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111090df1 |
Quadratic twists by: -23 |