Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bz |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
2557937710006272 = 220 · 34 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65864,6055920] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:3146:1] |
Generators of the group modulo torsion |
j |
4354703137/352512 |
j-invariant |
L |
4.6515308972869 |
L(r)(E,1)/r! |
Ω |
0.44613968155135 |
Real period |
R |
2.6065440253354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342l1 816h1 |
Quadratic twists by: -4 -11 |