Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
89712o |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-52087504896 = -1 · 214 · 36 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -6 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,933,-502] |
[a1,a2,a3,a4,a6] |
Generators |
[23:182:1] |
Generators of the group modulo torsion |
j |
30080231/17444 |
j-invariant |
L |
5.7154157272552 |
L(r)(E,1)/r! |
Ω |
0.66679999187137 |
Real period |
R |
2.1428523509959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11214o1 9968g1 |
Quadratic twists by: -4 -3 |