Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6150t |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-1470762967500000 = -1 · 25 · 315 · 57 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 6 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3037,1845281] |
[a1,a2,a3,a4,a6] |
j |
198257271191/94128829920 |
j-invariant |
L |
3.7197212489512 |
L(r)(E,1)/r! |
Ω |
0.37197212489512 |
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 |
49200cu1 18450k1 1230b1 |
Quadratic twists by: -4 -3 5 |