Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966bh |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-35124535885824 = -1 · 218 · 36 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10049,-478767] |
[a1,a2,a3,a4,a6] |
Generators |
[231:2964:1] |
Generators of the group modulo torsion |
j |
-153930331718857/48181805056 |
j-invariant |
L |
11.371211727273 |
L(r)(E,1)/r! |
Ω |
0.23466253346142 |
Real period |
R |
1.3460478235067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774d1 |
Quadratic twists by: -3 |