Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410ci |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
82175940 = 22 · 32 · 5 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-371,2685] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:79:1] |
Generators of the group modulo torsion |
j |
4243659659/61740 |
j-invariant |
L |
9.3750615386669 |
L(r)(E,1)/r! |
Ω |
1.9281193622428 |
Real period |
R |
2.431141381144 |
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 |
76230bn1 127050p1 25410z1 |
Quadratic twists by: -3 5 -11 |