Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480be |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-720555264000 = -1 · 211 · 39 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2133,15174] |
[a1,a2,a3,a4,a6] |
Generators |
[78:810:1] |
Generators of the group modulo torsion |
j |
26624106/17875 |
j-invariant |
L |
6.6654771289872 |
L(r)(E,1)/r! |
Ω |
0.56732801416334 |
Real period |
R |
1.9581491255396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102960l1 51480c1 |
Quadratic twists by: -4 -3 |