Atkin-Lehner |
3- 11- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89199f |
Isogeny class |
Conductor |
89199 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-22968653301 = -1 · 36 · 112 · 173 · 53 |
Discriminant |
Eigenvalues |
1 3- -3 3 11- 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1071,15606] |
[a1,a2,a3,a4,a6] |
Generators |
[30:84:1] |
Generators of the group modulo torsion |
j |
-186463002097/31507069 |
j-invariant |
L |
5.6358819291561 |
L(r)(E,1)/r! |
Ω |
1.1580582668213 |
Real period |
R |
1.2166663134309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9911d1 |
Quadratic twists by: -3 |