Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462bc |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
114370998 = 2 · 3 · 72 · 733 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 3 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2612,51162] |
[a1,a2,a3,a4,a6] |
Generators |
[1812:-249:64] |
Generators of the group modulo torsion |
j |
40221433203217/2334102 |
j-invariant |
L |
10.655105375475 |
L(r)(E,1)/r! |
Ω |
1.7709668397173 |
Real period |
R |
2.005515694688 |
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 |
64386t1 21462u1 |
Quadratic twists by: -3 -7 |