Atkin-Lehner |
2+ 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150bp |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19397928650625000 = 23 · 316 · 57 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3848751,-2906528102] |
[a1,a2,a3,a4,a6] |
Generators |
[-1132:642:1] [2288:15177:1] |
Generators of the group modulo torsion |
j |
403518051845722648801/1241467433640 |
j-invariant |
L |
10.327762326152 |
L(r)(E,1)/r! |
Ω |
0.10778782154745 |
Real period |
R |
11.976958736437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630q4 |
Quadratic twists by: 5 |