Atkin-Lehner |
5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
18025d |
Isogeny class |
Conductor |
18025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
1408203125 = 59 · 7 · 103 |
Discriminant |
Eigenvalues |
0 0 5- 7+ -4 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-500,3906] |
[a1,a2,a3,a4,a6] |
Generators |
[0:62:1] [6:33:1] |
Generators of the group modulo torsion |
j |
7077888/721 |
j-invariant |
L |
5.7935489437061 |
L(r)(E,1)/r! |
Ω |
1.4735627615439 |
Real period |
R |
1.9658303992553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18025g1 126175i1 |
Quadratic twists by: 5 -7 |