Atkin-Lehner |
3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225h |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
420214869140625 = 35 · 59 · 134 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-125550088,541416747656] |
[a1,a2,a3,a4,a6] |
j |
14007310336277804358074809/26893751625 |
j-invariant |
L |
0.48648746140372 |
L(r)(E,1)/r! |
Ω |
0.24324373070142 |
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 |
90675ba4 6045j4 |
Quadratic twists by: -3 5 |