Atkin-Lehner |
5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41515a |
Isogeny class |
Conductor |
41515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
28075952652153125 = 55 · 198 · 232 |
Discriminant |
Eigenvalues |
-2 2 5+ 0 -3 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-139466,18401236] |
[a1,a2,a3,a4,a6] |
j |
17664569344/1653125 |
j-invariant |
L |
0.72800386824406 |
L(r)(E,1)/r! |
Ω |
0.36400193415251 |
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 |
41515c1 |
Quadratic twists by: -19 |