Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100a |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
89964000000 = 28 · 33 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6975,223750] |
[a1,a2,a3,a4,a6] |
Generators |
[35:150:1] [-85:450:1] |
Generators of the group modulo torsion |
j |
347482224/833 |
j-invariant |
L |
11.046945956986 |
L(r)(E,1)/r! |
Ω |
1.0759955437833 |
Real period |
R |
0.85556007646847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100c2 4284d2 |
Quadratic twists by: -3 5 |