Atkin-Lehner |
2- 3+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10374i |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-35873292 = -1 · 22 · 3 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28,-271] |
[a1,a2,a3,a4,a6] |
j |
2422300607/35873292 |
j-invariant |
L |
4.0312637942237 |
L(r)(E,1)/r! |
Ω |
1.0078159485559 |
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 |
82992cp2 31122k2 72618cd2 |
Quadratic twists by: -4 -3 -7 |