Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710m |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-75767861809310 = -1 · 2 · 5 · 115 · 196 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11- 6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2144348,1208444416] |
[a1,a2,a3,a4,a6] |
j |
-23178622194826561/1610510 |
j-invariant |
L |
2.3221758493743 |
L(r)(E,1)/r! |
Ω |
0.46443516988275 |
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 |
110a2 |
Quadratic twists by: -19 |