Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34056h |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-34894994897664 = -1 · 28 · 39 · 115 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11+ 0 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4209,-264062] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1188:1] |
Generators of the group modulo torsion |
j |
44186845232/186980211 |
j-invariant |
L |
6.4300504922195 |
L(r)(E,1)/r! |
Ω |
0.33042865732636 |
Real period |
R |
2.4324655071717 |
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 |
68112o1 11352q1 |
Quadratic twists by: -4 -3 |