Atkin-Lehner |
2- 3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576v |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1050624 |
Modular degree for the optimal curve |
Δ |
443609879150592 = 218 · 33 · 72 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-585648,-172307520] |
[a1,a2,a3,a4,a6] |
j |
5423435745859608625/108303193152 |
j-invariant |
L |
0.69032128033927 |
L(r)(E,1)/r! |
Ω |
0.17258015198523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322l1 |
Quadratic twists by: -4 |