Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800bp |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-2250080000000000 = -1 · 214 · 510 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29792,-1126412] |
[a1,a2,a3,a4,a6] |
Generators |
[42:448:1] |
Generators of the group modulo torsion |
j |
73105175/56252 |
j-invariant |
L |
6.807502878124 |
L(r)(E,1)/r! |
Ω |
0.25741252162985 |
Real period |
R |
2.2038240386714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350j1 114800ce1 |
Quadratic twists by: -4 5 |