Atkin-Lehner |
2- 3- 5+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330bm |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11258118807927930 = -1 · 2 · 314 · 5 · 17 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48353,6554891] |
[a1,a2,a3,a4,a6] |
Generators |
[2078:26051:8] |
Generators of the group modulo torsion |
j |
-17149759610928841/15443235676170 |
j-invariant |
L |
10.638857978059 |
L(r)(E,1)/r! |
Ω |
0.36881064332773 |
Real period |
R |
7.211599064315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110j3 |
Quadratic twists by: -3 |