Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950g |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-1121629741375000 = -1 · 23 · 56 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11+ 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14876,1754898] |
[a1,a2,a3,a4,a6] |
Generators |
[352:6161:1] |
Generators of the group modulo torsion |
j |
-28561/88 |
j-invariant |
L |
2.5734920673307 |
L(r)(E,1)/r! |
Ω |
0.42991269997127 |
Real period |
R |
0.99768010084864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718m1 92950cl1 |
Quadratic twists by: 5 13 |