Atkin-Lehner |
2+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230b |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1.995272982547E+24 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 3 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20463361,-57870599694] |
[a1,a2,a3,a4,a6] |
Generators |
[13195068098135449970642:-1299384029462476102608743:1661955895295293697] |
Generators of the group modulo torsion |
j |
6874183436901599/14473341147040 |
j-invariant |
L |
3.214658542364 |
L(r)(E,1)/r! |
Ω |
0.043123349686658 |
Real period |
R |
37.272829751426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113230y2 |
Quadratic twists by: 13 |