Atkin-Lehner |
2+ 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150j |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
4825536768000000 = 214 · 38 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44225,-1300875] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:4195:8] |
Generators of the group modulo torsion |
j |
612241204436497/308834353152 |
j-invariant |
L |
4.0393467691948 |
L(r)(E,1)/r! |
Ω |
0.34713830322522 |
Real period |
R |
2.9090327483783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450dc1 1326e1 |
Quadratic twists by: -3 5 |