Atkin-Lehner |
3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715bn |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
17476187249390625 = 310 · 56 · 77 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101439,-10660280] |
[a1,a2,a3,a4,a6] |
j |
1345938541921/203765625 |
j-invariant |
L |
3.2427861913431 |
L(r)(E,1)/r! |
Ω |
0.27023218264587 |
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 |
16905h1 7245k1 |
Quadratic twists by: -3 -7 |