Atkin-Lehner |
2- 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770bg |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-1294672982400 = -1 · 27 · 33 · 52 · 74 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,838,-54151] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-449:1] |
Generators of the group modulo torsion |
j |
2413113635997/47950851200 |
j-invariant |
L |
10.09548628212 |
L(r)(E,1)/r! |
Ω |
0.41783389772492 |
Real period |
R |
0.43145503927282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770b2 |
Quadratic twists by: -3 |