Atkin-Lehner |
2+ 3+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46314c |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-17784576 = -1 · 28 · 33 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 4 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111,-467] |
[a1,a2,a3,a4,a6] |
Generators |
[14:17:1] |
Generators of the group modulo torsion |
j |
-5630252139/658688 |
j-invariant |
L |
3.0916275466301 |
L(r)(E,1)/r! |
Ω |
0.7303156146491 |
Real period |
R |
1.0583189940774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46314r1 |
Quadratic twists by: -3 |