Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622d |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-1804265064 = -1 · 23 · 33 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 3 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,285,797] |
[a1,a2,a3,a4,a6] |
j |
804357/568 |
j-invariant |
L |
1.884392512305 |
L(r)(E,1)/r! |
Ω |
0.94219625629693 |
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 |
62622bp1 1278b1 |
Quadratic twists by: -3 -7 |