Atkin-Lehner |
3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bk |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5455352843194E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6228567,149472216] |
[a1,a2,a3,a4,a6] |
Generators |
[-1184692854310:-230938255790943:6455635928] |
Generators of the group modulo torsion |
j |
2346068121930775081/1356848534930625 |
j-invariant |
L |
8.8727517793786 |
L(r)(E,1)/r! |
Ω |
0.10531926344326 |
Real period |
R |
21.061559601675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000284 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33825t2 20295k2 |
Quadratic twists by: -3 5 |