Atkin-Lehner |
3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21021f |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15680 |
Modular degree for the optimal curve |
Δ |
-2154379227 = -1 · 3 · 73 · 115 · 13 |
Discriminant |
Eigenvalues |
0 3+ 4 7- 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1801,-28911] |
[a1,a2,a3,a4,a6] |
Generators |
[6645:18792:125] |
Generators of the group modulo torsion |
j |
-1884568158208/6280989 |
j-invariant |
L |
4.8314467325032 |
L(r)(E,1)/r! |
Ω |
0.36634002765263 |
Real period |
R |
6.5942107984504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063bb1 21021g1 |
Quadratic twists by: -3 -7 |