Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450bw |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
830592 |
Modular degree for the optimal curve |
Δ |
-4860974505026250 = -1 · 2 · 36 · 54 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 3 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101142,-12801834] |
[a1,a2,a3,a4,a6] |
Generators |
[2319:109383:1] |
Generators of the group modulo torsion |
j |
-251138440675825/10668805498 |
j-invariant |
L |
4.4693083956696 |
L(r)(E,1)/r! |
Ω |
0.13352362571537 |
Real period |
R |
0.79695338088513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999733958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11050p1 99450ck1 |
Quadratic twists by: -3 5 |