Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bc |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
75488375627058240 = 26 · 312 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141570,-15636524] |
[a1,a2,a3,a4,a6] |
j |
3658671062929/880165440 |
j-invariant |
L |
1.0017143297578 |
L(r)(E,1)/r! |
Ω |
0.2504285823567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bo1 6930q1 |
Quadratic twists by: -3 -7 |