Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550a |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35805837375000 = 23 · 312 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9075,163125] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:625:1] |
Generators of the group modulo torsion |
j |
5290763640625/2291573592 |
j-invariant |
L |
2.5253579635829 |
L(r)(E,1)/r! |
Ω |
0.58746118214447 |
Real period |
R |
2.1493828361257 |
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 |
92400he2 34650cx2 462g2 80850bx2 |
Quadratic twists by: -4 -3 5 -7 |