Atkin-Lehner |
2+ 3- 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39990f |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
51734289551810400 = 25 · 39 · 52 · 312 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80705548839,8824759440533962] |
[a1,a2,a3,a4,a6] |
Generators |
[56258090:-28127961:343] |
Generators of the group modulo torsion |
j |
58134494164798306073802603318590470249/51734289551810400 |
j-invariant |
L |
3.1390821878982 |
L(r)(E,1)/r! |
Ω |
0.069099538728253 |
Real period |
R |
2.5238005649945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970ca4 |
Quadratic twists by: -3 |