Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504bc |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1007681536 = 220 · 312 |
Discriminant |
Eigenvalues |
2+ 3 -1 -3 -3 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4885228,4155998384] |
[a1,a2,a3,a4,a6] |
j |
51181724570498001/4 |
j-invariant |
L |
2.3976748918929 |
L(r)(E,1)/r! |
Ω |
0.59941872450957 |
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 |
61504cf2 1922e2 61504h2 |
Quadratic twists by: -4 8 -31 |