Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496p |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
152013743497728 = 29 · 38 · 72 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45219,3653242] |
[a1,a2,a3,a4,a6] |
Generators |
[19170:71302:125] |
Generators of the group modulo torsion |
j |
27396121552136/407272761 |
j-invariant |
L |
8.1520224115645 |
L(r)(E,1)/r! |
Ω |
0.57917438052985 |
Real period |
R |
7.0376234562121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496m3 124992ge4 20832bf2 |
Quadratic twists by: -4 8 -3 |