Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656bj |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-563395754229504 = -1 · 28 · 3 · 712 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19812,-1573860] |
[a1,a2,a3,a4,a6] |
j |
-28556329552/18706191 |
j-invariant |
L |
6.2547067672524 |
L(r)(E,1)/r! |
Ω |
0.1954596208974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62328be1 17808e1 |
Quadratic twists by: -4 -7 |