Atkin-Lehner |
2+ 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
108936i |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27071688859895808 = 211 · 36 · 172 · 894 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-404355,98650334] |
[a1,a2,a3,a4,a6] |
Generators |
[-961070:5006918:1331] |
Generators of the group modulo torsion |
j |
4897277172373250/18132507649 |
j-invariant |
L |
8.8877386688178 |
L(r)(E,1)/r! |
Ω |
0.37684695578114 |
Real period |
R |
11.792238893509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12104a2 |
Quadratic twists by: -3 |