Atkin-Lehner |
2- 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622bq |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-1616621497344 = -1 · 210 · 33 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 5 1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24191,-1443417] |
[a1,a2,a3,a4,a6] |
j |
-492851793699/508928 |
j-invariant |
L |
7.6558004978518 |
L(r)(E,1)/r! |
Ω |
0.19139501236676 |
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 |
62622e1 8946o1 |
Quadratic twists by: -3 -7 |