Atkin-Lehner |
2- 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150cc |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2746450546875000 = -1 · 23 · 36 · 510 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21713,2797031] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:1892:1] |
Generators of the group modulo torsion |
j |
-72454344765769/175772835000 |
j-invariant |
L |
8.5240681916628 |
L(r)(E,1)/r! |
Ω |
0.40183217169552 |
Real period |
R |
1.7677504834489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430l2 |
Quadratic twists by: 5 |