Atkin-Lehner |
2- 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10374j |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
109798416 = 24 · 34 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1777,-29569] |
[a1,a2,a3,a4,a6] |
j |
620584994493073/109798416 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
82992cf1 31122l1 72618ci1 |
Quadratic twists by: -4 -3 -7 |