Atkin-Lehner |
2+ 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550be |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-2982000000 = -1 · 27 · 3 · 56 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1851,30598] |
[a1,a2,a3,a4,a6] |
j |
-44852393377/190848 |
j-invariant |
L |
2.8655317957772 |
L(r)(E,1)/r! |
Ω |
1.4327658881576 |
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 |
2982f1 |
Quadratic twists by: 5 |