Atkin-Lehner |
2+ 3- 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990g |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-2653942579200000 = -1 · 220 · 36 · 55 · 11 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70785,-7643075] |
[a1,a2,a3,a4,a6] |
j |
-53805087768191761/3640524800000 |
j-invariant |
L |
0.29155579706487 |
L(r)(E,1)/r! |
Ω |
0.14577795685943 |
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 |
11110j1 |
Quadratic twists by: -3 |