Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622h |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-6314927724 = -1 · 22 · 33 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 -3 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,432,1532] |
[a1,a2,a3,a4,a6] |
Generators |
[2:48:1] |
Generators of the group modulo torsion |
j |
2803221/1988 |
j-invariant |
L |
5.9376409152964 |
L(r)(E,1)/r! |
Ω |
0.84933572448797 |
Real period |
R |
0.87386541388053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622bm1 8946b1 |
Quadratic twists by: -3 -7 |