Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28140j |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
8484210000 = 24 · 33 · 54 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-621,3780] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:75:1] |
Generators of the group modulo torsion |
j |
1657973899264/530263125 |
j-invariant |
L |
5.655147122306 |
L(r)(E,1)/r! |
Ω |
1.2073611452939 |
Real period |
R |
0.52043225235914 |
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 |
112560bo1 84420t1 |
Quadratic twists by: -4 -3 |