Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800k |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-171500000000 = -1 · 28 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 1 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,-19963] |
[a1,a2,a3,a4,a6] |
Generators |
[92:875:1] |
Generators of the group modulo torsion |
j |
1024/343 |
j-invariant |
L |
2.8200036253433 |
L(r)(E,1)/r! |
Ω |
0.4772978107841 |
Real period |
R |
0.98471141833184 |
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 |
1400l1 11200dd1 25200cf1 2800j1 |
Quadratic twists by: -4 8 -3 5 |