Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850fw |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
91255152744000 = 26 · 36 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14669240,-21621502213] |
[a1,a2,a3,a4,a6] |
j |
3830972064521089212269/1001428288 |
j-invariant |
L |
4.1657328313016 |
L(r)(E,1)/r! |
Ω |
0.077143200619919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6650j1 59850dc1 |
Quadratic twists by: -3 5 |