Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
352f |
Isogeny class |
Conductor |
352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-5451776 = -1 · 212 · 113 |
Discriminant |
Eigenvalues |
2- -3 1 0 11- -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8,112] |
[a1,a2,a3,a4,a6] |
Generators |
[12:44:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
1.2616805128185 |
L(r)(E,1)/r! |
Ω |
1.8476278580027 |
Real period |
R |
0.11381084375782 |
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 |
352e1 704h1 3168h1 8800i1 |
Quadratic twists by: -4 8 -3 5 |