Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7812g |
Isogeny class |
Conductor |
7812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-1093430016 = -1 · 28 · 39 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,1892] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:54:1] |
Generators of the group modulo torsion |
j |
-4194304/5859 |
j-invariant |
L |
4.49928918684 |
L(r)(E,1)/r! |
Ω |
1.3960789706479 |
Real period |
R |
0.26856701766376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31248ci1 124992bh1 2604a1 54684t1 |
Quadratic twists by: -4 8 -3 -7 |