Atkin-Lehner |
2- 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930w |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-2.3189034375E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -5 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-210737,-234606239] |
[a1,a2,a3,a4,a6] |
Generators |
[1981:83384:1] |
Generators of the group modulo torsion |
j |
-52583908959625707/1178125000000000 |
j-invariant |
L |
8.1208872940608 |
L(r)(E,1)/r! |
Ω |
0.092378379823322 |
Real period |
R |
0.34884507924942 |
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 |
33930b1 |
Quadratic twists by: -3 |