Atkin-Lehner |
2- 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630u |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.39480600625E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1221710,-463879285] |
[a1,a2,a3,a4,a6] |
Generators |
[-647:7823:1] |
Generators of the group modulo torsion |
j |
201663880795294103017441/23948060062500000000 |
j-invariant |
L |
7.6860412681178 |
L(r)(E,1)/r! |
Ω |
0.14471547047982 |
Real period |
R |
1.1064875042146 |
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 |
64890w3 108150bd3 |
Quadratic twists by: -3 5 |