Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240f |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-44763613977600 = -1 · 210 · 39 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17307,933606] |
[a1,a2,a3,a4,a6] |
Generators |
[90:324:1] |
Generators of the group modulo torsion |
j |
-28444469868/2220925 |
j-invariant |
L |
7.2323254984568 |
L(r)(E,1)/r! |
Ω |
0.62740701080384 |
Real period |
R |
2.881831641082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93240ba1 |
Quadratic twists by: -3 |