Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cy |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-5.859137025E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,209592,1164079188] |
[a1,a2,a3,a4,a6] |
Generators |
[2988:168750:1] |
Generators of the group modulo torsion |
j |
649381163998/373669453125 |
j-invariant |
L |
7.4264722837135 |
L(r)(E,1)/r! |
Ω |
0.12717100117996 |
Real period |
R |
0.52140651274161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400g1 11760d1 58800d1 |
Quadratic twists by: -4 5 -7 |