Atkin-Lehner |
2+ 3+ 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39990d |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
793401600 = 28 · 3 · 52 · 312 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-232,64] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:343:8] [-7:41:1] |
Generators of the group modulo torsion |
j |
1390302566281/793401600 |
j-invariant |
L |
5.909861907435 |
L(r)(E,1)/r! |
Ω |
1.3652229227252 |
Real period |
R |
2.1644311009804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970bp1 |
Quadratic twists by: -3 |