Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550m |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-9779573125000000 = -1 · 26 · 510 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-77201,-9535452] |
[a1,a2,a3,a4,a6] |
j |
-44289025/8512 |
j-invariant |
L |
0.56693573017931 |
L(r)(E,1)/r! |
Ω |
0.14173393255319 |
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 |
46550cy1 6650c1 |
Quadratic twists by: 5 -7 |