Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bs |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
180000 |
Modular degree for the optimal curve |
Δ |
-1928608987500000 = -1 · 25 · 35 · 58 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28612,-985219] |
[a1,a2,a3,a4,a6] |
j |
6631432874015/4937239008 |
j-invariant |
L |
2.617687854464 |
L(r)(E,1)/r! |
Ω |
0.26176878544662 |
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 |
99450bm1 33150r1 |
Quadratic twists by: -3 5 |