Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53465d |
Isogeny class |
Conductor |
53465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2267136 |
Modular degree for the optimal curve |
Δ |
7.7874744783723E+20 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8073703,-8725237794] |
[a1,a2,a3,a4,a6] |
Generators |
[-383413915903334808104172:19864269351618366062493:215134674117093291833] |
Generators of the group modulo torsion |
j |
2411284428241923681/32262878164625 |
j-invariant |
L |
2.6720500830797 |
L(r)(E,1)/r! |
Ω |
0.089636111478306 |
Real period |
R |
29.809973223387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3145c1 |
Quadratic twists by: 17 |