Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838d |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1755715699370811456 = -1 · 26 · 33 · 177 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-377199,109706861] |
[a1,a2,a3,a4,a6] |
Generators |
[-4282:102713:8] [-170:13081:1] |
Generators of the group modulo torsion |
j |
-9107069805387/2693995712 |
j-invariant |
L |
8.5448761473991 |
L(r)(E,1)/r! |
Ω |
0.25105904842953 |
Real period |
R |
0.8508831090631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98838ba1 5814c1 |
Quadratic twists by: -3 17 |