Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056b |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-143687877632 = -1 · 210 · 134 · 173 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-595,-19074] |
[a1,a2,a3,a4,a6] |
Generators |
[50:276:1] |
Generators of the group modulo torsion |
j |
-4630500/28561 |
j-invariant |
L |
3.6598515456345 |
L(r)(E,1)/r! |
Ω |
0.43174569719819 |
Real period |
R |
4.2384343021656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60112b2 30056a2 |
Quadratic twists by: -4 17 |