Atkin-Lehner |
5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10045a |
Isogeny class |
Conductor |
10045 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5712 |
Modular degree for the optimal curve |
Δ |
1181784205 = 5 · 78 · 41 |
Discriminant |
Eigenvalues |
2 0 5+ 7+ 2 1 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-343,-1801] |
[a1,a2,a3,a4,a6] |
j |
774144/205 |
j-invariant |
L |
3.3937297192719 |
L(r)(E,1)/r! |
Ω |
1.1312432397573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405bf1 50225a1 10045k1 |
Quadratic twists by: -3 5 -7 |