Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496da |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-10021812416 = -1 · 26 · 76 · 113 |
Discriminant |
Eigenvalues |
2- -3 1 7- 11+ -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,98,-4802] |
[a1,a2,a3,a4,a6] |
Generators |
[49:343:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
2.6342114457585 |
L(r)(E,1)/r! |
Ω |
0.61185394926587 |
Real period |
R |
2.1526472526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496dr1 17248bh1 704h1 |
Quadratic twists by: -4 8 -7 |