Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658x |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-1461296853311232 = -1 · 28 · 3 · 7 · 437 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,24923,-1033237] |
[a1,a2,a3,a4,a6] |
Generators |
[162230158343:-2663242697440:1454419637] |
Generators of the group modulo torsion |
j |
270840023/231168 |
j-invariant |
L |
9.7359855854044 |
L(r)(E,1)/r! |
Ω |
0.26393162833513 |
Real period |
R |
18.444143367645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000089 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1806f1 |
Quadratic twists by: -43 |