Atkin-Lehner |
2+ 3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080v |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-215818647264000 = -1 · 28 · 34 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10255,-579525] |
[a1,a2,a3,a4,a6] |
Generators |
[1370:19965:8] |
Generators of the group modulo torsion |
j |
465852457339904/843041590875 |
j-invariant |
L |
9.6453662481483 |
L(r)(E,1)/r! |
Ω |
0.29404919396195 |
Real period |
R |
1.3667449854573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999754722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62040t1 |
Quadratic twists by: -4 |