Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dg |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
279419868000000 = 28 · 310 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-155708,-23583588] |
[a1,a2,a3,a4,a6] |
Generators |
[733758:42457571:216] |
Generators of the group modulo torsion |
j |
104375673106000/69854967 |
j-invariant |
L |
5.0456151149444 |
L(r)(E,1)/r! |
Ω |
0.24034718365937 |
Real period |
R |
10.496513930518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27300t2 4368x2 |
Quadratic twists by: -4 5 |