Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136bt |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-10590025536 = -1 · 26 · 36 · 613 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-747,9288] |
[a1,a2,a3,a4,a6] |
Generators |
[24:72:1] |
Generators of the group modulo torsion |
j |
-988047936/226981 |
j-invariant |
L |
5.5046448592729 |
L(r)(E,1)/r! |
Ω |
1.2246598985284 |
Real period |
R |
2.2474177793719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136br1 17568e1 3904g1 |
Quadratic twists by: -4 8 -3 |