Atkin-Lehner |
2- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
58480d |
Isogeny class |
Conductor |
58480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
2215211171840 = 221 · 5 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 4 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7043,215938] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:640:1] |
Generators of the group modulo torsion |
j |
9432717529689/540823040 |
j-invariant |
L |
6.0712090803181 |
L(r)(E,1)/r! |
Ω |
0.80928327734611 |
Real period |
R |
1.8754894764145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310a1 |
Quadratic twists by: -4 |