Atkin-Lehner |
2+ 3- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990k |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-74511511303680 = -1 · 29 · 39 · 5 · 114 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 11- 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8199,506173] |
[a1,a2,a3,a4,a6] |
j |
-83619706309489/102210577920 |
j-invariant |
L |
4.4371690558883 |
L(r)(E,1)/r! |
Ω |
0.55464614578476 |
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 |
33330h1 |
Quadratic twists by: -3 |