Atkin-Lehner |
3- 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835l |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
783897345 = 37 · 5 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201623,-34795938] |
[a1,a2,a3,a4,a6] |
Generators |
[1341:45209:1] |
Generators of the group modulo torsion |
j |
1243410074215301161/1075305 |
j-invariant |
L |
3.3244434266266 |
L(r)(E,1)/r! |
Ω |
0.22530182253245 |
Real period |
R |
7.377755291957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999996078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945k1 |
Quadratic twists by: -3 |