Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478i |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
9.6508401734552E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3213870,-1637465896] |
[a1,a2,a3,a4,a6] |
j |
296518892481/77948684 |
j-invariant |
L |
1.3795136962663 |
L(r)(E,1)/r! |
Ω |
0.11495947457468 |
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 |
7942p1 71478bv1 |
Quadratic twists by: -3 -19 |