Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bw |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
-9.1521980676E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 1 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2901208,-1955959088] |
[a1,a2,a3,a4,a6] |
Generators |
[35031227:5670886500:1331] |
Generators of the group modulo torsion |
j |
-2390122/81 |
j-invariant |
L |
5.3096995301134 |
L(r)(E,1)/r! |
Ω |
0.057724489982106 |
Real period |
R |
11.49793513123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cd1 58800ef1 58800dx1 |
Quadratic twists by: -4 5 -7 |