Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504p |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16122904576 = 224 · 312 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 3 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10209,393599] |
[a1,a2,a3,a4,a6] |
j |
467145913/64 |
j-invariant |
L |
4.7783508783622 |
L(r)(E,1)/r! |
Ω |
1.1945877185417 |
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 |
61504bv2 1922b2 61504g2 |
Quadratic twists by: -4 8 -31 |