Atkin-Lehner |
2+ 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872h |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-3063438027776 = -1 · 210 · 72 · 175 · 43 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -4 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3080,-51548] |
[a1,a2,a3,a4,a6] |
Generators |
[42:392:1] |
Generators of the group modulo torsion |
j |
3154531675676/2991638699 |
j-invariant |
L |
8.3694429438157 |
L(r)(E,1)/r! |
Ω |
0.43706741088019 |
Real period |
R |
2.3936361793244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40936g1 |
Quadratic twists by: -4 |