Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496t |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
1.454422836641E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3385587,-2390692430] |
[a1,a2,a3,a4,a6] |
Generators |
[30189620851:3463742472192:2248091] |
Generators of the group modulo torsion |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
2.9020314565717 |
L(r)(E,1)/r! |
Ω |
0.1113216303789 |
Real period |
R |
13.034445537199 |
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 |
1062f1 33984cd1 2832g1 |
Quadratic twists by: -4 8 -3 |