Atkin-Lehner |
3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8265d |
Isogeny class |
Conductor |
8265 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-8950995 = -1 · 32 · 5 · 193 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- 2 -6 -3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-350,2411] |
[a1,a2,a3,a4,a6] |
Generators |
[74:53:8] |
Generators of the group modulo torsion |
j |
-4755192426496/8950995 |
j-invariant |
L |
9.9806721984323 |
L(r)(E,1)/r! |
Ω |
2.3153150843255 |
Real period |
R |
0.7184531287628 |
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 |
24795i1 41325g1 |
Quadratic twists by: -3 5 |