Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113100q |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-992452500000000 = -1 · 28 · 34 · 510 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20508,1883988] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1350:1] |
Generators of the group modulo torsion |
j |
-238481570896/248113125 |
j-invariant |
L |
9.0864009445385 |
L(r)(E,1)/r! |
Ω |
0.44938314311151 |
Real period |
R |
2.5274648976148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620c2 |
Quadratic twists by: 5 |