Atkin-Lehner |
2- 5- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
91120o |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
281088 |
Modular degree for the optimal curve |
Δ |
19536128000000 = 214 · 56 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87827,10015954] |
[a1,a2,a3,a4,a6] |
Generators |
[153:-400:1] |
Generators of the group modulo torsion |
j |
18291440522113641/4769562500 |
j-invariant |
L |
3.8638571736134 |
L(r)(E,1)/r! |
Ω |
0.66912030449906 |
Real period |
R |
0.48121106892465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11390f1 |
Quadratic twists by: -4 |