Atkin-Lehner |
2- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
49450o |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-618125000000 = -1 · 26 · 510 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -1 -3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1062,35492] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1194:1] |
Generators of the group modulo torsion |
j |
8477185319/39560000 |
j-invariant |
L |
12.356937087742 |
L(r)(E,1)/r! |
Ω |
0.65568524828902 |
Real period |
R |
0.78524319404662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890d1 |
Quadratic twists by: 5 |