Atkin-Lehner |
3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325d |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-27263671875 = -1 · 33 · 59 · 11 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-174300,28008781] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-688:1] [241:-2:1] |
Generators of the group modulo torsion |
j |
-1388136210628608/64625 |
j-invariant |
L |
10.480646887269 |
L(r)(E,1)/r! |
Ω |
0.88470147302616 |
Real period |
R |
1.4808168648894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999943436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116325f2 23265f1 |
Quadratic twists by: -3 5 |