Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400c |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-23430643200 = -1 · 29 · 310 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -1 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1048,-14648] |
[a1,a2,a3,a4,a6] |
Generators |
[593959:5023782:6859] |
Generators of the group modulo torsion |
j |
-9954327560/1830519 |
j-invariant |
L |
6.4804585606141 |
L(r)(E,1)/r! |
Ω |
0.41536474540631 |
Real period |
R |
7.8009251294027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400bf1 74400cx1 |
Quadratic twists by: -4 5 |