Atkin-Lehner |
2+ 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410g |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1.1047568158203E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,398205,127253025] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:2049:1] [-99:9369:1] |
Generators of the group modulo torsion |
j |
9578901269230134479/15154414483131900 |
j-invariant |
L |
7.0804083374985 |
L(r)(E,1)/r! |
Ω |
0.15490816157546 |
Real period |
R |
5.7133919444181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968076 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
40470bo3 |
Quadratic twists by: -3 |