Atkin-Lehner |
3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8265c |
Isogeny class |
Conductor |
8265 |
Conductor |
∏ cp |
1620 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-6.2682613268485E+22 |
Discriminant |
Eigenvalues |
0 3- 5- -4 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5849155,-10742909401] |
[a1,a2,a3,a4,a6] |
Generators |
[3391:219307:1] |
Generators of the group modulo torsion |
j |
22131101411620555298177024/62682613268485060546875 |
j-invariant |
L |
3.8633008700202 |
L(r)(E,1)/r! |
Ω |
0.056799275921961 |
Real period |
R |
0.37787070808283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24795h1 41325d1 |
Quadratic twists by: -3 5 |