Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450dr |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
1.3409424288E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1640930,-789238303] |
[a1,a2,a3,a4,a6] |
Generators |
[-687:4015:1] |
Generators of the group modulo torsion |
j |
343191135492197/9417867264 |
j-invariant |
L |
10.534825049942 |
L(r)(E,1)/r! |
Ω |
0.13361490080148 |
Real period |
R |
0.93862722813248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150w1 99450br1 |
Quadratic twists by: -3 5 |