Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598t |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
8965342683648 = 29 · 36 · 134 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -2 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90773,10487675] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:4660:1] [143:604:1] |
Generators of the group modulo torsion |
j |
98355371252727625/10660336128 |
j-invariant |
L |
12.082273076298 |
L(r)(E,1)/r! |
Ω |
0.70205257121831 |
Real period |
R |
0.47805351098089 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598e1 |
Quadratic twists by: 29 |