Atkin-Lehner |
2- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49490p |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3675420937562500 = -1 · 22 · 56 · 78 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38333,-413241] |
[a1,a2,a3,a4,a6] |
Generators |
[1147:38816:1] |
Generators of the group modulo torsion |
j |
52949823995151/31240562500 |
j-invariant |
L |
9.7616156623976 |
L(r)(E,1)/r! |
Ω |
0.25980363521722 |
Real period |
R |
3.1310877200889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7070f2 |
Quadratic twists by: -7 |