Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410y |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6013440 |
Modular degree for the optimal curve |
Δ |
5937229441406250 = 2 · 36 · 59 · 134 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125890358,-543640337269] |
[a1,a2,a3,a4,a6] |
Generators |
[-5148817368939667534099537096546979178:2572256901653929534760284547178808651:794858792084290092490750164891816] |
Generators of the group modulo torsion |
j |
302672933732543273052842521/8144347656250 |
j-invariant |
L |
9.3801912012529 |
L(r)(E,1)/r! |
Ω |
0.045071440427378 |
Real period |
R |
52.029573008471 |
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 |
9490d1 |
Quadratic twists by: -3 |