Atkin-Lehner |
2- 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330bx |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-364014252720 = -1 · 24 · 39 · 5 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1723,-9619] |
[a1,a2,a3,a4,a6] |
Generators |
[9:76:1] |
Generators of the group modulo torsion |
j |
776404954871/499333680 |
j-invariant |
L |
9.5303902553446 |
L(r)(E,1)/r! |
Ω |
0.54692458109772 |
Real period |
R |
2.1781774363235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110n1 |
Quadratic twists by: -3 |