Atkin-Lehner |
2- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46354x |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
29 |
Product of Tamagawa factors cp |
deg |
141984 |
Modular degree for the optimal curve |
Δ |
12443057127424 = 229 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11+ 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49944,4305179] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-439:1] |
Generators of the group modulo torsion |
j |
281170300917471777/253939941376 |
j-invariant |
L |
6.6800592289925 |
L(r)(E,1)/r! |
Ω |
0.70739075314584 |
Real period |
R |
0.32562889596753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46354t1 |
Quadratic twists by: -7 |