Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200ec |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
512731283456000 = 218 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26078648,-51250968208] |
[a1,a2,a3,a4,a6] |
Generators |
[26494812:4998097216:729] |
Generators of the group modulo torsion |
j |
3830972064521089212269/1001428288 |
j-invariant |
L |
8.6154978929749 |
L(r)(E,1)/r! |
Ω |
0.066807971466089 |
Real period |
R |
9.211366445264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6650j1 53200do1 |
Quadratic twists by: -4 5 |