Atkin-Lehner |
2- 7- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98686j |
Isogeny class |
Conductor |
98686 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
849408 |
Modular degree for the optimal curve |
Δ |
-13682490664665088 = -1 · 214 · 77 · 192 · 532 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-108226,14841537] |
[a1,a2,a3,a4,a6] |
Generators |
[9:3719:1] |
Generators of the group modulo torsion |
j |
-1191589127906913/116299251712 |
j-invariant |
L |
8.2489754785179 |
L(r)(E,1)/r! |
Ω |
0.38758425591183 |
Real period |
R |
0.76010896493367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14098f1 |
Quadratic twists by: -7 |