Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bf |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1857492000000 = -1 · 28 · 36 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2583,82782] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1000:1] |
Generators of the group modulo torsion |
j |
-208417104/203125 |
j-invariant |
L |
7.3159071235777 |
L(r)(E,1)/r! |
Ω |
0.76010364120463 |
Real period |
R |
2.4062202677745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999662036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12740f1 114660bj1 |
Quadratic twists by: -3 -7 |