Atkin-Lehner |
2+ 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270ba |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2.7617238624666E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-616438049,-5836446979684] |
[a1,a2,a3,a4,a6] |
Generators |
[-1263016260:-17231152297:85184] |
Generators of the group modulo torsion |
j |
25905502617353677771316537409289/276172386246664276359375000 |
j-invariant |
L |
4.5509167459148 |
L(r)(E,1)/r! |
Ω |
0.030318442269224 |
Real period |
R |
15.010391053412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ev4 |
Quadratic twists by: -3 |