Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cb |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
5263380000000 = 28 · 36 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140701,-20266799] |
[a1,a2,a3,a4,a6] |
Generators |
[-13820:999:64] |
Generators of the group modulo torsion |
j |
3333275297603584/56953125 |
j-invariant |
L |
4.4528585086725 |
L(r)(E,1)/r! |
Ω |
0.24650483762369 |
Real period |
R |
4.5159950517532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660v1 86640cz1 |
Quadratic twists by: -4 -19 |