Atkin-Lehner |
3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
333a |
Isogeny class |
Conductor |
333 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20 |
Modular degree for the optimal curve |
Δ |
26973 = 36 · 37 |
Discriminant |
Eigenvalues |
0 3- 0 -1 -3 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:0:1] |
Generators of the group modulo torsion |
j |
4096000/37 |
j-invariant |
L |
1.479299492077 |
L(r)(E,1)/r! |
Ω |
2.0410609925639 |
Real period |
R |
0.72476986109993 |
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 |
5328u1 21312k1 37b3 8325q1 |
Quadratic twists by: -4 8 -3 5 |