Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320bb |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3809280 |
Modular degree for the optimal curve |
Δ |
-5.191349016843E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6724668,-6800966908] |
[a1,a2,a3,a4,a6] |
Generators |
[20960344:236261250:6859] |
Generators of the group modulo torsion |
j |
-180205798889619321856/2781715651171875 |
j-invariant |
L |
3.4854222680881 |
L(r)(E,1)/r! |
Ω |
0.046833162561141 |
Real period |
R |
9.302762395263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440h1 |
Quadratic twists by: -3 |