Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840by |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
6149898240 = 220 · 3 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2040,35952] |
[a1,a2,a3,a4,a6] |
Generators |
[77:574:1] |
Generators of the group modulo torsion |
j |
229333309561/1501440 |
j-invariant |
L |
5.7876266672933 |
L(r)(E,1)/r! |
Ω |
1.34947540072 |
Real period |
R |
4.2887974604152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730g1 |
Quadratic twists by: -4 |