Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
9198j |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
2670216192 = 210 · 36 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-767,7975] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:86:1] [-17:134:1] |
Generators of the group modulo torsion |
j |
68367756969/3662848 |
j-invariant |
L |
6.6136780410007 |
L(r)(E,1)/r! |
Ω |
1.4188360630417 |
Real period |
R |
0.23306702632093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73584bl1 1022a1 64386by1 |
Quadratic twists by: -4 -3 -7 |