Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656be |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-44348936921856 = -1 · 28 · 34 · 79 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -1 6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7775,-179173] |
[a1,a2,a3,a4,a6] |
j |
5030912/4293 |
j-invariant |
L |
2.8253938785973 |
L(r)(E,1)/r! |
Ω |
0.35317436651249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328g1 124656n1 |
Quadratic twists by: -4 -7 |