Atkin-Lehner |
2- 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10374j |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
258395322276 = 22 · 32 · 76 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1957,-23449] |
[a1,a2,a3,a4,a6] |
j |
828915115007953/258395322276 |
j-invariant |
L |
4.4119673112329 |
L(r)(E,1)/r! |
Ω |
0.73532788520548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82992cf2 31122l2 72618ci2 |
Quadratic twists by: -4 -3 -7 |