Atkin-Lehner |
2+ 3+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45552a |
Isogeny class |
Conductor |
45552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-76797258879744 = -1 · 28 · 33 · 134 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 -4 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14841,-808731] |
[a1,a2,a3,a4,a6] |
Generators |
[26380:290849:125] |
Generators of the group modulo torsion |
j |
-1412220478557184/299989292499 |
j-invariant |
L |
2.6948028277277 |
L(r)(E,1)/r! |
Ω |
0.21383980080682 |
Real period |
R |
6.300985171072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22776f1 |
Quadratic twists by: -4 |