Atkin-Lehner |
2+ 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330i |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3758040023040 = -1 · 218 · 38 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 1 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1035,94405] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4469:1] |
Generators of the group modulo torsion |
j |
-168288035761/5155061760 |
j-invariant |
L |
3.9449960110012 |
L(r)(E,1)/r! |
Ω |
0.65667600325887 |
Real period |
R |
1.5018806806644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110x1 |
Quadratic twists by: -3 |