Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736cd |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
215935632 = 24 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 11- -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:81:8] |
Generators of the group modulo torsion |
j |
194081536/111537 |
j-invariant |
L |
5.0922553868513 |
L(r)(E,1)/r! |
Ω |
1.481876770975 |
Real period |
R |
1.7181777497408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684j1 98736cw1 |
Quadratic twists by: -4 -11 |