Atkin-Lehner |
3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8487l |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1207713076623 = -1 · 310 · 233 · 412 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 6 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1174,-50848] |
[a1,a2,a3,a4,a6] |
Generators |
[30:88:1] |
Generators of the group modulo torsion |
j |
245667233447/1656670887 |
j-invariant |
L |
2.3495413866133 |
L(r)(E,1)/r! |
Ω |
0.4310543556244 |
Real period |
R |
0.90844745214321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829g1 |
Quadratic twists by: -3 |