Atkin-Lehner |
2+ 3+ 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650p |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
216576 |
Modular degree for the optimal curve |
Δ |
-2685058593750 = -1 · 2 · 32 · 512 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18875,-1009125] |
[a1,a2,a3,a4,a6] |
Generators |
[389:6926:1] |
Generators of the group modulo torsion |
j |
-47599294745521/171843750 |
j-invariant |
L |
4.5615676822701 |
L(r)(E,1)/r! |
Ω |
0.20361087180663 |
Real period |
R |
5.6008400235425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18330be1 |
Quadratic twists by: 5 |