Atkin-Lehner |
3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025bp |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
206400 |
Modular degree for the optimal curve |
Δ |
-4182595126875 = -1 · 37 · 54 · 115 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 11+ 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-47325,3963856] |
[a1,a2,a3,a4,a6] |
j |
-25726934118400/9179907 |
j-invariant |
L |
1.5296282127818 |
L(r)(E,1)/r! |
Ω |
0.76481410678639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675r1 47025y2 |
Quadratic twists by: -3 5 |