Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056u |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
3294791304336 = 24 · 36 · 710 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 3 6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,-218491] |
[a1,a2,a3,a4,a6] |
Generators |
[-13300:17179:343] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
4.1048548463919 |
L(r)(E,1)/r! |
Ω |
0.52084928724931 |
Real period |
R |
7.8810798956265 |
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 |
3528w1 28224fl1 784d1 7056o1 |
Quadratic twists by: -4 8 -3 -7 |