Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gj |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-537064430734540800 = -1 · 217 · 37 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253128,-60466572] |
[a1,a2,a3,a4,a6] |
Generators |
[852:18522:1] |
Generators of the group modulo torsion |
j |
-17516447604815665/5244769831392 |
j-invariant |
L |
9.71929806457 |
L(r)(E,1)/r! |
Ω |
0.10480788798593 |
Real period |
R |
0.82798584038407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999760518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650d1 109200eh1 |
Quadratic twists by: -4 5 |