Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fr |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
1.0640111220703E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1863633,-843541488] |
[a1,a2,a3,a4,a6] |
Generators |
[-3569297590388:-24632780246950:3659383421] |
Generators of the group modulo torsion |
j |
70954958848/10546875 |
j-invariant |
L |
5.239906404556 |
L(r)(E,1)/r! |
Ω |
0.13049964016737 |
Real period |
R |
20.076325106495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bf1 11760cr1 58800ip1 |
Quadratic twists by: -4 5 -7 |