Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320x |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2161692036000000 = 28 · 38 · 56 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36543,1491842] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:738:1] |
Generators of the group modulo torsion |
j |
28918037211856/11583140625 |
j-invariant |
L |
6.3830945520623 |
L(r)(E,1)/r! |
Ω |
0.42056234597532 |
Real period |
R |
1.897190337916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966428 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440e2 |
Quadratic twists by: -3 |