Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200hd |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
47687657472000 = 214 · 39 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-230328,42468948] |
[a1,a2,a3,a4,a6] |
Generators |
[252:-702:1] |
Generators of the group modulo torsion |
j |
2639343078571373/93139956 |
j-invariant |
L |
9.1396405024269 |
L(r)(E,1)/r! |
Ω |
0.59517215458667 |
Real period |
R |
0.42656381035092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650v1 109200ew1 |
Quadratic twists by: -4 5 |