Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200bo |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1590071472000000 = 210 · 312 · 56 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105808,-13072388] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:300:1] |
Generators of the group modulo torsion |
j |
8187726931492/99379467 |
j-invariant |
L |
4.7343513762219 |
L(r)(E,1)/r! |
Ω |
0.26490388200592 |
Real period |
R |
2.2339949011123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000023092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4488e3 |
Quadratic twists by: 5 |