Atkin-Lehner |
3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175bb |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
96641015625 = 33 · 58 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2338,40667] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:269:1] |
Generators of the group modulo torsion |
j |
90458382169/6185025 |
j-invariant |
L |
4.5399252108064 |
L(r)(E,1)/r! |
Ω |
1.0466368475994 |
Real period |
R |
0.7229386230109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635h1 |
Quadratic twists by: 5 |