Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bt |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-222912000000 = -1 · 212 · 34 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7733,-260163] |
[a1,a2,a3,a4,a6] |
j |
-799178752/3483 |
j-invariant |
L |
1.0179457041915 |
L(r)(E,1)/r! |
Ω |
0.25448642645387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3225f1 2064m1 |
Quadratic twists by: -4 5 |