Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736cx |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-660624408576 = -1 · 215 · 34 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11- -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,39092] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-528:1] [-28:138:1] |
Generators of the group modulo torsion |
j |
-121/11016 |
j-invariant |
L |
13.206885766857 |
L(r)(E,1)/r! |
Ω |
0.72461737672536 |
Real period |
R |
0.37970860525945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342a1 98736de1 |
Quadratic twists by: -4 -11 |