Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ht |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-217005075000000 = -1 · 26 · 311 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1458,708588] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-1350:1] |
Generators of the group modulo torsion |
j |
-280000/177147 |
j-invariant |
L |
9.4496475810167 |
L(r)(E,1)/r! |
Ω |
0.45386784299851 |
Real period |
R |
0.31545852160281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600fy1 117600t1 117600fm1 |
Quadratic twists by: -4 5 -7 |