Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478ca |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2996206224567138 = -1 · 2 · 36 · 112 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20509,2373445] |
[a1,a2,a3,a4,a6] |
j |
27818127/87362 |
j-invariant |
L |
2.5456457229971 |
L(r)(E,1)/r! |
Ω |
0.31820571710624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7942h2 3762f2 |
Quadratic twists by: -3 -19 |