Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
87856t |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
876146625806876672 = 214 · 177 · 194 |
Discriminant |
Eigenvalues |
2- -2 -4 4 2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1114480,-450979116] |
[a1,a2,a3,a4,a6] |
Generators |
[-644:266:1] |
Generators of the group modulo torsion |
j |
1548415333009/8861828 |
j-invariant |
L |
3.5137551168066 |
L(r)(E,1)/r! |
Ω |
0.14698774519245 |
Real period |
R |
2.9881361239994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999637093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10982d1 5168h1 |
Quadratic twists by: -4 17 |