Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650eh |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-9169325550000000 = -1 · 27 · 39 · 58 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18680,-4706053] |
[a1,a2,a3,a4,a6] |
Generators |
[213:865:1] |
Generators of the group modulo torsion |
j |
-2531307865/32199552 |
j-invariant |
L |
8.6508337314021 |
L(r)(E,1)/r! |
Ω |
0.17524319694059 |
Real period |
R |
3.526052399681 |
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 |
11550bi1 34650k1 |
Quadratic twists by: -3 5 |