Atkin-Lehner |
2+ 3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190k |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-528534682031250 = -1 · 2 · 312 · 58 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4086,1101862] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:723:1] |
Generators of the group modulo torsion |
j |
7546951858430951/528534682031250 |
j-invariant |
L |
5.2057705481221 |
L(r)(E,1)/r! |
Ω |
0.3974619472182 |
Real period |
R |
2.1829219897895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bx3 |
Quadratic twists by: -3 |