Atkin-Lehner |
3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75645i |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
3549396641481225 = 36 · 52 · 417 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38138,50456] |
[a1,a2,a3,a4,a6] |
j |
1771561/1025 |
j-invariant |
L |
1.5038926162575 |
L(r)(E,1)/r! |
Ω |
0.3759731479113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8405b1 1845d1 |
Quadratic twists by: -3 41 |