Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2408b |
Isogeny class |
Conductor |
2408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-26430208 = -1 · 28 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 1 3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,-245] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] |
Generators of the group modulo torsion |
j |
128000/103243 |
j-invariant |
L |
2.3608695623511 |
L(r)(E,1)/r! |
Ω |
0.98616892618565 |
Real period |
R |
0.14962380554583 |
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 |
4816a1 19264k1 21672p1 60200k1 |
Quadratic twists by: -4 8 -3 5 |