Atkin-Lehner |
2- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49490o |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-20794460750 = -1 · 2 · 53 · 77 · 101 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -4 4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,162,-6933] |
[a1,a2,a3,a4,a6] |
j |
4019679/176750 |
j-invariant |
L |
1.163327936064 |
L(r)(E,1)/r! |
Ω |
0.58166396825813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070i1 |
Quadratic twists by: -7 |