Atkin-Lehner |
3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025m |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
535666744807734375 = 314 · 57 · 11 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-203067,-713534] |
[a1,a2,a3,a4,a6] |
j |
81300912365161/47026984455 |
j-invariant |
L |
0.9853519824218 |
L(r)(E,1)/r! |
Ω |
0.24633799570481 |
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 |
15675h3 9405f4 |
Quadratic twists by: -3 5 |