Atkin-Lehner |
3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627m |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-869082669 = -1 · 33 · 72 · 134 · 23 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- 0 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,3492] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-55:1] |
Generators of the group modulo torsion |
j |
-299393809/30429 |
j-invariant |
L |
2.6792565887594 |
L(r)(E,1)/r! |
Ω |
1.5407323714487 |
Real period |
R |
0.28982500364978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81627g1 |
Quadratic twists by: 13 |