Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064j |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-714710563117056 = -1 · 211 · 316 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17709,911950] |
[a1,a2,a3,a4,a6] |
Generators |
[18:1112:1] |
Generators of the group modulo torsion |
j |
411384898654/478710243 |
j-invariant |
L |
3.4909267399917 |
L(r)(E,1)/r! |
Ω |
0.33881806519605 |
Real period |
R |
5.1516242765128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128l2 17688k2 |
Quadratic twists by: -4 -3 |