Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350fp |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
728 |
Product of Tamagawa factors cp |
deg |
792064 |
Modular degree for the optimal curve |
Δ |
-53485125313536000 = -1 · 213 · 37 · 53 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60160,9553187] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:-2495:1] |
Generators of the group modulo torsion |
j |
264250867272211/586942390272 |
j-invariant |
L |
9.6613157005479 |
L(r)(E,1)/r! |
Ω |
0.24620755996801 |
Real period |
R |
0.053901830022573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450bq1 91350cj1 |
Quadratic twists by: -3 5 |