Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627x |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-99895962460203 = -1 · 35 · 7 · 136 · 233 |
Discriminant |
Eigenvalues |
-2 3- -4 7- 5 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16280,-938440] |
[a1,a2,a3,a4,a6] |
Generators |
[160:760:1] |
Generators of the group modulo torsion |
j |
-98867482624/20696067 |
j-invariant |
L |
3.3085430683578 |
L(r)(E,1)/r! |
Ω |
0.20898010425587 |
Real period |
R |
1.5831856683247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
483a1 |
Quadratic twists by: 13 |