Atkin-Lehner |
2- 3+ 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190z |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-34136961712410 = -1 · 2 · 3 · 5 · 198 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8005,58355] |
[a1,a2,a3,a4,a6] |
Generators |
[975900:-23998993:1728] |
Generators of the group modulo torsion |
j |
56728895769043919/34136961712410 |
j-invariant |
L |
9.133750532574 |
L(r)(E,1)/r! |
Ω |
0.40114302974506 |
Real period |
R |
11.384655665558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570j3 |
Quadratic twists by: -3 |