Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35496g |
Isogeny class |
Conductor |
35496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-1686393954319104 = -1 · 28 · 313 · 173 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 5 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195276,-33272732] |
[a1,a2,a3,a4,a6] |
Generators |
[9632:944298:1] |
Generators of the group modulo torsion |
j |
-4412684020139008/9036318771 |
j-invariant |
L |
6.9051637965236 |
L(r)(E,1)/r! |
Ω |
0.11354134888448 |
Real period |
R |
3.8010182327655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70992c1 11832c1 |
Quadratic twists by: -4 -3 |