Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622be |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61824 |
Modular degree for the optimal curve |
Δ |
-69146711424 = -1 · 27 · 37 · 72 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,117,12613] |
[a1,a2,a3,a4,a6] |
j |
4934783/1935744 |
j-invariant |
L |
3.4089085497575 |
L(r)(E,1)/r! |
Ω |
0.85222713837031 |
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 |
20874bb1 62622n1 |
Quadratic twists by: -3 -7 |