Atkin-Lehner |
2+ 7+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
79856a |
Isogeny class |
Conductor |
79856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
108544 |
Modular degree for the optimal curve |
Δ |
-1927670176768 = -1 · 210 · 7 · 234 · 312 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -4 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,832,66436] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:124:1] [-16:222:1] |
Generators of the group modulo torsion |
j |
62125749500/1882490407 |
j-invariant |
L |
7.3648668806042 |
L(r)(E,1)/r! |
Ω |
0.62623522342804 |
Real period |
R |
2.940135992453 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39928b1 |
Quadratic twists by: -4 |