Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550by |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8893500 = 22 · 3 · 53 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-328,-2419] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:7:1] |
Generators of the group modulo torsion |
j |
31226116949/71148 |
j-invariant |
L |
5.5640689642193 |
L(r)(E,1)/r! |
Ω |
1.1219762281302 |
Real period |
R |
1.2397920795283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400il2 34650bu2 11550bh2 80850hc2 |
Quadratic twists by: -4 -3 5 -7 |