Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hz |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4802902776000 = -1 · 26 · 36 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,82,105468] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:294:1] |
Generators of the group modulo torsion |
j |
64/5103 |
j-invariant |
L |
9.5586498849439 |
L(r)(E,1)/r! |
Ω |
0.60971293615585 |
Real period |
R |
0.65322064242193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600by1 117600bu1 16800bn1 |
Quadratic twists by: -4 5 -7 |