Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550m |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1389291750 = 2 · 38 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-280,-350] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:35:1] |
Generators of the group modulo torsion |
j |
19530306557/11114334 |
j-invariant |
L |
2.756483629397 |
L(r)(E,1)/r! |
Ω |
1.260955118551 |
Real period |
R |
1.093014171894 |
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 |
92400if2 34650du2 11550ct2 80850dd2 |
Quadratic twists by: -4 -3 5 -7 |