Atkin-Lehner |
5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57475l |
Isogeny class |
Conductor |
57475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-65741521484375 = -1 · 59 · 116 · 19 |
Discriminant |
Eigenvalues |
-1 0 5- 2 11- -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,945,-390178] |
[a1,a2,a3,a4,a6] |
Generators |
[910:26993:1] |
Generators of the group modulo torsion |
j |
27/19 |
j-invariant |
L |
3.9699989916123 |
L(r)(E,1)/r! |
Ω |
0.28927974361471 |
Real period |
R |
6.861868276579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57475k1 475b1 |
Quadratic twists by: 5 -11 |