Atkin-Lehner |
3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21105h |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1705984 |
Modular degree for the optimal curve |
Δ |
1.5653928103088E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65731149,205126156080] |
[a1,a2,a3,a4,a6] |
Generators |
[-2844:608922:1] |
Generators of the group modulo torsion |
j |
43083389116092375080564689/2147315240478515625 |
j-invariant |
L |
5.843788190442 |
L(r)(E,1)/r! |
Ω |
0.14189247493059 |
Real period |
R |
1.4708794190059 |
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 |
7035f1 105525bf1 |
Quadratic twists by: -3 5 |