Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bs |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[10404:204908:1] |
Generators of the group modulo torsion |
j |
-716220782494793351680/5787689787 |
j-invariant |
L |
5.2848587606867 |
L(r)(E,1)/r! |
Ω |
0.025361425930799 |
Real period |
R |
6.5119302329221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200ba1 26400bx1 79200ep1 |
Quadratic twists by: -4 -3 5 |