Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650dm |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-656821131487500000 = -1 · 25 · 3 · 58 · 76 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,53987,-38687983] |
[a1,a2,a3,a4,a6] |
Generators |
[598:14107:1] |
Generators of the group modulo torsion |
j |
44548261389455/1681462096608 |
j-invariant |
L |
12.355741667726 |
L(r)(E,1)/r! |
Ω |
0.1382678435728 |
Real period |
R |
2.9786973235887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650h2 |
Quadratic twists by: 5 |