Atkin-Lehner |
5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11275b |
Isogeny class |
Conductor |
11275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26712271953125 = 57 · 112 · 414 |
Discriminant |
Eigenvalues |
1 0 5+ -4 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81542,-8938509] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:133:1] |
Generators of the group modulo torsion |
j |
3837520953986481/1709585405 |
j-invariant |
L |
4.3479396697806 |
L(r)(E,1)/r! |
Ω |
0.28253065541966 |
Real period |
R |
1.9236583651968 |
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 |
101475bg4 2255a3 124025d4 |
Quadratic twists by: -3 5 -11 |