Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200f |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2009340000000 = -1 · 28 · 33 · 57 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-908,69312] |
[a1,a2,a3,a4,a6] |
Generators |
[13:244:1] |
Generators of the group modulo torsion |
j |
-20720464/502335 |
j-invariant |
L |
5.8471980949788 |
L(r)(E,1)/r! |
Ω |
0.69453679206232 |
Real period |
R |
2.104711428496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600i1 14640j1 |
Quadratic twists by: -4 5 |