Atkin-Lehner |
3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74727q |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-2261665872517325139 = -1 · 314 · 197 · 232 |
Discriminant |
Eigenvalues |
0 3- -1 1 3 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1511868,719164435] |
[a1,a2,a3,a4,a6] |
j |
-11143361069056/65944611 |
j-invariant |
L |
2.0867648931399 |
L(r)(E,1)/r! |
Ω |
0.26084560832878 |
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 |
24909e1 3933e1 |
Quadratic twists by: -3 -19 |