Atkin-Lehner |
2- 3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34362i |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
874496 |
Modular degree for the optimal curve |
Δ |
-1.3072001860394E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,586201,-20559009] |
[a1,a2,a3,a4,a6] |
Generators |
[684705:32380146:343] |
Generators of the group modulo torsion |
j |
30558817390119741143/17931415446355968 |
j-invariant |
L |
10.948652474624 |
L(r)(E,1)/r! |
Ω |
0.13180505372325 |
Real period |
R |
10.383376969761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11454a1 |
Quadratic twists by: -3 |