Atkin-Lehner |
5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41515b |
Isogeny class |
Conductor |
41515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-102795249985 = -1 · 5 · 197 · 23 |
Discriminant |
Eigenvalues |
-1 -2 5+ 0 -5 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1271,-23390] |
[a1,a2,a3,a4,a6] |
Generators |
[49:156:1] |
Generators of the group modulo torsion |
j |
-4826809/2185 |
j-invariant |
L |
1.0323703185705 |
L(r)(E,1)/r! |
Ω |
0.39123730640603 |
Real period |
R |
1.3193658959213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2185a1 |
Quadratic twists by: -19 |