Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920m |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-77511217234230000 = -1 · 24 · 322 · 54 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102387,-18396641] |
[a1,a2,a3,a4,a6] |
Generators |
[443:4815:1] |
Generators of the group modulo torsion |
j |
-10176786311344384/6645337554375 |
j-invariant |
L |
7.9170720526323 |
L(r)(E,1)/r! |
Ω |
0.12964634473692 |
Real period |
R |
3.8166675988653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29640s1 |
Quadratic twists by: -3 |