Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400br |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-49212800000000 = -1 · 213 · 58 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2592,-332812] |
[a1,a2,a3,a4,a6] |
Generators |
[418:8600:1] |
Generators of the group modulo torsion |
j |
30080231/768950 |
j-invariant |
L |
7.290443452919 |
L(r)(E,1)/r! |
Ω |
0.30712670355553 |
Real period |
R |
2.9671969941554 |
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 |
4550o1 7280m1 |
Quadratic twists by: -4 5 |