Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622cb |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-116263300756104432 = -1 · 24 · 36 · 711 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,112666,-7594779] |
[a1,a2,a3,a4,a6] |
j |
1844124275447/1355585392 |
j-invariant |
L |
2.9811359331238 |
L(r)(E,1)/r! |
Ω |
0.1863209960536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6958h1 8946s1 |
Quadratic twists by: -3 -7 |