Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320h |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13834829030400 = 210 · 38 · 52 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7563,179062] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:630:1] |
Generators of the group modulo torsion |
j |
64088267044/18533025 |
j-invariant |
L |
4.8080672789975 |
L(r)(E,1)/r! |
Ω |
0.65600009563427 |
Real period |
R |
1.8323424478996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891225 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440w2 |
Quadratic twists by: -3 |