Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040k |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
30965760 |
Modular degree for the optimal curve |
Δ |
-9.6044980890072E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-441593835,5915392278642] |
[a1,a2,a3,a4,a6] |
Generators |
[431315402:-483598798150:343] |
Generators of the group modulo torsion |
j |
-595213448747095198927846967296/600281130562949295663181875 |
j-invariant |
L |
6.2217687723861 |
L(r)(E,1)/r! |
Ω |
0.037232103940285 |
Real period |
R |
11.936259521722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520be1 |
Quadratic twists by: -4 |