Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107736a |
Isogeny class |
Conductor |
107736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1981056 |
Modular degree for the optimal curve |
Δ |
526263710113406736 = 24 · 34 · 678 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 3 -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1904832,-1010652795] |
[a1,a2,a3,a4,a6] |
Generators |
[-810:405:1] |
Generators of the group modulo torsion |
j |
117645568/81 |
j-invariant |
L |
6.4402342627887 |
L(r)(E,1)/r! |
Ω |
0.12851485035156 |
Real period |
R |
4.1760635817353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107736d1 |
Quadratic twists by: -67 |