Atkin-Lehner |
2+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
5810b |
Isogeny class |
Conductor |
5810 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-1280802880 = -1 · 26 · 5 · 7 · 833 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,41,1722] |
[a1,a2,a3,a4,a6] |
Generators |
[15:68:1] |
Generators of the group modulo torsion |
j |
7892485271/1280802880 |
j-invariant |
L |
1.7394000758028 |
L(r)(E,1)/r! |
Ω |
1.1791130981501 |
Real period |
R |
2.2127649313687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
46480i1 52290cj1 29050k1 40670g1 |
Quadratic twists by: -4 -3 5 -7 |