Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450dg |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
14022927360000000 = 216 · 36 · 57 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68855,-3970353] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:1326:1] |
Generators of the group modulo torsion |
j |
3169397364769/1231093760 |
j-invariant |
L |
10.311928646219 |
L(r)(E,1)/r! |
Ω |
0.30462469893158 |
Real period |
R |
1.0578517465666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050f1 19890n1 |
Quadratic twists by: -3 5 |