Atkin-Lehner |
2+ 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320m |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16871742720 = 28 · 38 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9903,-379262] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:4:1] [167:1620:1] |
Generators of the group modulo torsion |
j |
575514878416/90405 |
j-invariant |
L |
10.569899917791 |
L(r)(E,1)/r! |
Ω |
0.47858816373793 |
Real period |
R |
5.5213964313319 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440z2 |
Quadratic twists by: -3 |