Atkin-Lehner |
2- 3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578bk |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-847374705072 = -1 · 24 · 37 · 72 · 192 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1381,39291] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:174:1] |
Generators of the group modulo torsion |
j |
399826899863/1162379568 |
j-invariant |
L |
12.473476781508 |
L(r)(E,1)/r! |
Ω |
0.62651733404056 |
Real period |
R |
0.6221633911164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526f2 |
Quadratic twists by: -3 |