Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fz |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-6.9947341406208E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4115592,2420211312] |
[a1,a2,a3,a4,a6] |
Generators |
[1818:126126:1] |
Generators of the group modulo torsion |
j |
1023887723039/928972800 |
j-invariant |
L |
5.4433130464604 |
L(r)(E,1)/r! |
Ω |
0.086707164848444 |
Real period |
R |
3.9236326777922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350bc1 11760ch1 8400cc1 |
Quadratic twists by: -4 5 -7 |