Atkin-Lehner |
3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21105l |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10797272898615 = 37 · 5 · 72 · 674 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36122,-2628646] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:118:1] [393:6418:1] |
Generators of the group modulo torsion |
j |
7149905093135449/14811073935 |
j-invariant |
L |
5.2106164899332 |
L(r)(E,1)/r! |
Ω |
0.34634713258376 |
Real period |
R |
7.522245746721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035h3 105525p4 |
Quadratic twists by: -3 5 |