Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200p |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-3810628800000000 = -1 · 212 · 39 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27000,-2430000] |
[a1,a2,a3,a4,a6] |
Generators |
[882:10989:8] |
Generators of the group modulo torsion |
j |
69120/121 |
j-invariant |
L |
7.4351008003881 |
L(r)(E,1)/r! |
Ω |
0.23187491095978 |
Real period |
R |
4.0081421330847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200cy1 79200cx1 79200ct1 |
Quadratic twists by: -4 -3 5 |