Atkin-Lehner |
2+ 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93808a |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7990940672 = 210 · 114 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11411,469154] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:968:1] |
Generators of the group modulo torsion |
j |
160470376509348/7803653 |
j-invariant |
L |
3.6257967541665 |
L(r)(E,1)/r! |
Ω |
1.2379585737869 |
Real period |
R |
1.4644257257229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999968286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46904r4 |
Quadratic twists by: -4 |