Atkin-Lehner |
2+ 3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830bb |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3892428580078125000 = -1 · 23 · 39 · 512 · 19 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16875,-94921875] |
[a1,a2,a3,a4,a6] |
Generators |
[633:11838:1] [1281:43905:1] |
Generators of the group modulo torsion |
j |
-729024300270001/5339408203125000 |
j-invariant |
L |
8.987988969313 |
L(r)(E,1)/r! |
Ω |
0.11276597461398 |
Real period |
R |
19.926198926701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610bn2 |
Quadratic twists by: -3 |