Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44304c |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-7924762168786944 = -1 · 225 · 39 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 -1 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36704,3307264] |
[a1,a2,a3,a4,a6] |
Generators |
[210:4498:1] |
Generators of the group modulo torsion |
j |
1335033367297631/1934756388864 |
j-invariant |
L |
4.4405409159859 |
L(r)(E,1)/r! |
Ω |
0.28162146013021 |
Real period |
R |
3.9419411733977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538o1 |
Quadratic twists by: -4 |