Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200p |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-313477120000000 = -1 · 217 · 57 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 11+ 0 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11075,-962750] |
[a1,a2,a3,a4,a6] |
Generators |
[135:50:1] [321:5344:1] |
Generators of the group modulo torsion |
j |
-2347334289/4898080 |
j-invariant |
L |
10.917025401092 |
L(r)(E,1)/r! |
Ω |
0.21829243586117 |
Real period |
R |
6.2513763698687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650k1 20240j1 |
Quadratic twists by: -4 5 |