Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bq |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
588 |
Product of Tamagawa factors cp |
deg |
3575040 |
Modular degree for the optimal curve |
Δ |
-7.9922096404132E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1589547,-1564327143] |
[a1,a2,a3,a4,a6] |
Generators |
[7945:-702112:1] |
Generators of the group modulo torsion |
j |
-1294940250957417261751/2330090274172931712 |
j-invariant |
L |
6.9994465568741 |
L(r)(E,1)/r! |
Ω |
0.063415978605709 |
Real period |
R |
0.18771011559986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974bu1 |
Quadratic twists by: -7 |