Atkin-Lehner |
3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065h |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-2.9023384563686E+20 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2415423,1661196784] |
[a1,a2,a3,a4,a6] |
Generators |
[-371:50062:1] |
Generators of the group modulo torsion |
j |
-2137842841970353033216/398125988527921875 |
j-invariant |
L |
3.0461368021883 |
L(r)(E,1)/r! |
Ω |
0.16625650424056 |
Real period |
R |
0.45804776421859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355d1 |
Quadratic twists by: -3 |