Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550cd |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
1097712000 = 27 · 34 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23883,1410681] |
[a1,a2,a3,a4,a6] |
Generators |
[75:182:1] |
Generators of the group modulo torsion |
j |
12052620205076933/8781696 |
j-invariant |
L |
5.8003713600299 |
L(r)(E,1)/r! |
Ω |
1.2859989217539 |
Real period |
R |
0.3221715298463 |
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 |
92400hx2 34650cd2 11550bf2 80850hm2 |
Quadratic twists by: -4 -3 5 -7 |