Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445u |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1094992880275 = -1 · 52 · 72 · 197 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -3 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2527,12003] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1801:8] |
Generators of the group modulo torsion |
j |
774144/475 |
j-invariant |
L |
10.898200139583 |
L(r)(E,1)/r! |
Ω |
0.53746642662018 |
Real period |
R |
2.5346234649072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445bf1 4655f1 |
Quadratic twists by: -7 -19 |