Atkin-Lehner |
3+ 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61275c |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31288546875 = -1 · 3 · 56 · 192 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,8500] |
[a1,a2,a3,a4,a6] |
j |
-117649/2002467 |
j-invariant |
L |
1.8736165214022 |
L(r)(E,1)/r! |
Ω |
0.93680826253853 |
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 |
2451h2 |
Quadratic twists by: 5 |