Atkin-Lehner |
5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52675a |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
264600 |
Modular degree for the optimal curve |
Δ |
2420766044921875 = 510 · 78 · 43 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7+ 0 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-245638,46696656] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:9568:1] |
Generators of the group modulo torsion |
j |
29115625/43 |
j-invariant |
L |
2.9281408854113 |
L(r)(E,1)/r! |
Ω |
0.45822835720136 |
Real period |
R |
6.3901346118134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52675l1 52675c1 |
Quadratic twists by: 5 -7 |