Atkin-Lehner |
3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
104025q |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
4346598349265625 = 34 · 56 · 196 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60238,4719467] |
[a1,a2,a3,a4,a6] |
Generators |
[197:614:1] [2374:27655:8] |
Generators of the group modulo torsion |
j |
1547090677498393/278182294353 |
j-invariant |
L |
8.3997275156692 |
L(r)(E,1)/r! |
Ω |
0.41594021980505 |
Real period |
R |
1.6828795577787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161c1 |
Quadratic twists by: 5 |