Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
106176cg |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-6269586624 = -1 · 26 · 311 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2499,-49077] |
[a1,a2,a3,a4,a6] |
Generators |
[66:279:1] |
Generators of the group modulo torsion |
j |
-26978405759488/97962291 |
j-invariant |
L |
10.241723211404 |
L(r)(E,1)/r! |
Ω |
0.33753523211922 |
Real period |
R |
2.7584253585004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106176bf1 53088m1 |
Quadratic twists by: -4 8 |