Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200ba |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-432048727523635200 = -1 · 212 · 39 · 52 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78484440,267623017040] |
[a1,a2,a3,a4,a6] |
j |
-716220782494793351680/5787689787 |
j-invariant |
L |
3.2990624817563 |
L(r)(E,1)/r! |
Ω |
0.20619140261844 |
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 |
79200bs1 26400bk1 79200el1 |
Quadratic twists by: -4 -3 5 |