Atkin-Lehner |
2- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
89908j |
Isogeny class |
Conductor |
89908 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
-934701909232 = -1 · 24 · 72 · 137 · 19 |
Discriminant |
Eigenvalues |
2- -2 2 7- 0 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2422,64533] |
[a1,a2,a3,a4,a6] |
Generators |
[266:1183:8] [57:339:1] |
Generators of the group modulo torsion |
j |
-20353792/12103 |
j-invariant |
L |
9.4065868568636 |
L(r)(E,1)/r! |
Ω |
0.81821594460507 |
Real period |
R |
1.4370574967144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6916a1 |
Quadratic twists by: 13 |