Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33579k |
Isogeny class |
Conductor |
33579 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
230532386192199 = 37 · 76 · 13 · 413 |
Discriminant |
Eigenvalues |
-1 3- 1 7- -1 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26672,1515732] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:1371:1] |
Generators of the group modulo torsion |
j |
2878376935864249/316230982431 |
j-invariant |
L |
4.0789547854343 |
L(r)(E,1)/r! |
Ω |
0.540617657613 |
Real period |
R |
0.10479152687656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11193d1 |
Quadratic twists by: -3 |