Atkin-Lehner |
2- 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bw |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-2895077088150300 = -1 · 22 · 320 · 52 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25798,2032629] |
[a1,a2,a3,a4,a6] |
Generators |
[317:6321:1] |
Generators of the group modulo torsion |
j |
2604774197916071/3971299160700 |
j-invariant |
L |
9.4024146759945 |
L(r)(E,1)/r! |
Ω |
0.30727882183072 |
Real period |
R |
3.8248709347982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110a1 |
Quadratic twists by: -3 |