Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656d |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
228080247026688 = 210 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -5 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77632,-8267888] |
[a1,a2,a3,a4,a6] |
j |
8765311492/38637 |
j-invariant |
L |
2.2887269707732 |
L(r)(E,1)/r! |
Ω |
0.28609092200222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328p1 124656bm1 |
Quadratic twists by: -4 -7 |