Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fd |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7411887000000000 = 29 · 32 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102900408,401800836312] |
[a1,a2,a3,a4,a6] |
Generators |
[4414766447:-149400350:753571] |
Generators of the group modulo torsion |
j |
128025588102048008/7875 |
j-invariant |
L |
5.3330771819107 |
L(r)(E,1)/r! |
Ω |
0.22949240242901 |
Real period |
R |
11.619288994107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600dg4 23520r4 16800by2 |
Quadratic twists by: -4 5 -7 |