Atkin-Lehner |
2+ 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330m |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-573431400000 = -1 · 26 · 38 · 55 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8820,-318704] |
[a1,a2,a3,a4,a6] |
Generators |
[320:5276:1] |
Generators of the group modulo torsion |
j |
-104094944089921/786600000 |
j-invariant |
L |
3.7286190938232 |
L(r)(E,1)/r! |
Ω |
0.24620911857356 |
Real period |
R |
3.786028636372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110bc1 |
Quadratic twists by: -3 |