Atkin-Lehner |
2- 3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290be |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
290506383360000 = 216 · 38 · 54 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57803,5300187] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:3018:1] [155:138:1] |
Generators of the group modulo torsion |
j |
29298155334152041/398499840000 |
j-invariant |
L |
15.012234745053 |
L(r)(E,1)/r! |
Ω |
0.5490589000879 |
Real period |
R |
0.8544298903567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430g1 |
Quadratic twists by: -3 |