Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445r |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
442225 = 52 · 72 · 192 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 3 -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,-92] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
292201/25 |
j-invariant |
L |
2.3332726938833 |
L(r)(E,1)/r! |
Ω |
1.9593958313787 |
Real period |
R |
0.59540615957643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445bd1 88445h1 |
Quadratic twists by: -7 -19 |