Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
102608u |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-384584634368 = -1 · 212 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3 0 -4 11- 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,605,29282] |
[a1,a2,a3,a4,a6] |
Generators |
[2541:25894:27] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
10.954438932571 |
L(r)(E,1)/r! |
Ω |
0.7066884777727 |
Real period |
R |
3.8752715143885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6413g1 848e1 |
Quadratic twists by: -4 -11 |