Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210bx |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
285512063812500 = 22 · 3 · 56 · 77 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16465,12347] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:886:1] |
Generators of the group modulo torsion |
j |
4195872914689/2426812500 |
j-invariant |
L |
8.1097439591505 |
L(r)(E,1)/r! |
Ω |
0.46440803134917 |
Real period |
R |
1.4552116909137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030x2 |
Quadratic twists by: -7 |