Atkin-Lehner |
2+ 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
79632g |
Isogeny class |
Conductor |
79632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
33437795328 = 210 · 310 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,29986] |
[a1,a2,a3,a4,a6] |
Generators |
[2:162:1] |
Generators of the group modulo torsion |
j |
976562500/44793 |
j-invariant |
L |
6.9310916141458 |
L(r)(E,1)/r! |
Ω |
1.1527192744998 |
Real period |
R |
1.5032045889719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39816h1 26544e1 |
Quadratic twists by: -4 -3 |