Atkin-Lehner |
5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
42025c |
Isogeny class |
Conductor |
42025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
76075888234765625 = 58 · 417 |
Discriminant |
Eigenvalues |
-1 2 5+ 2 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-105938,-233594] |
[a1,a2,a3,a4,a6] |
Generators |
[3227700:19765957:9261] |
Generators of the group modulo torsion |
j |
1771561/1025 |
j-invariant |
L |
5.7213293454256 |
L(r)(E,1)/r! |
Ω |
0.29013278246904 |
Real period |
R |
9.8598464067635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8405b1 1025a1 |
Quadratic twists by: 5 41 |