Atkin-Lehner |
2- 3- 7+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89838z |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-154036953504 = -1 · 25 · 39 · 73 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 2 -6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7691,262203] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-78:1] |
Generators of the group modulo torsion |
j |
-69006766551913/211298976 |
j-invariant |
L |
12.735930312387 |
L(r)(E,1)/r! |
Ω |
1.0301691221205 |
Real period |
R |
0.61814754635499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29946c1 |
Quadratic twists by: -3 |