Atkin-Lehner |
5- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14105g |
Isogeny class |
Conductor |
14105 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-195854949951171875 = -1 · 517 · 72 · 132 · 31 |
Discriminant |
Eigenvalues |
0 -3 5- 7- -2 13- 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-96892,-24251343] |
[a1,a2,a3,a4,a6] |
Generators |
[467:5687:1] |
Generators of the group modulo torsion |
j |
-100597566169234538496/195854949951171875 |
j-invariant |
L |
2.5459845750849 |
L(r)(E,1)/r! |
Ω |
0.12725902746062 |
Real period |
R |
0.29421055920915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126945m1 70525d1 98735d1 |
Quadratic twists by: -3 5 -7 |