Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200c |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-9132912000000 = -1 · 210 · 39 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4725,-74250] |
[a1,a2,a3,a4,a6] |
Generators |
[524760:5526325:13824] |
Generators of the group modulo torsion |
j |
37044/29 |
j-invariant |
L |
7.5139740701791 |
L(r)(E,1)/r! |
Ω |
0.40651580408483 |
Real period |
R |
9.2419212176284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400e1 52200bo1 2088h1 |
Quadratic twists by: -4 -3 5 |