Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800bc |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-60082722000000000 = -1 · 210 · 36 · 59 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20992,-11741988] |
[a1,a2,a3,a4,a6] |
Generators |
[777:21750:1] |
Generators of the group modulo torsion |
j |
63935857436/3755170125 |
j-invariant |
L |
6.2541907415024 |
L(r)(E,1)/r! |
Ω |
0.1676859339005 |
Real period |
R |
2.3310656572208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360m2 |
Quadratic twists by: 5 |