Atkin-Lehner |
2+ 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
74022g |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1004640 |
Modular degree for the optimal curve |
Δ |
-4890943573818822 = -1 · 2 · 35 · 1310 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 -2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,42247,406515] |
[a1,a2,a3,a4,a6] |
j |
60486959/35478 |
j-invariant |
L |
2.3612204998668 |
L(r)(E,1)/r! |
Ω |
0.26235783339437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74022m1 |
Quadratic twists by: 13 |