Atkin-Lehner |
2- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
80752p |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1668420849901568 = -1 · 213 · 711 · 103 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -4 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11384,-2016272] |
[a1,a2,a3,a4,a6] |
Generators |
[306:-4802:1] [212:2248:1] |
Generators of the group modulo torsion |
j |
-338608873/3462242 |
j-invariant |
L |
7.3199399861244 |
L(r)(E,1)/r! |
Ω |
0.2008525012209 |
Real period |
R |
2.2777722276151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10094a1 11536h1 |
Quadratic twists by: -4 -7 |