Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130m |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
263333054451600 = 24 · 314 · 52 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-102119,12527642] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:5098:1] |
Generators of the group modulo torsion |
j |
117770700609816945769/263333054451600 |
j-invariant |
L |
3.7787206815073 |
L(r)(E,1)/r! |
Ω |
0.55303333649661 |
Real period |
R |
0.48805126616327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040ba2 33390by2 55650bw2 77910o2 |
Quadratic twists by: -4 -3 5 -7 |