Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968cd |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-858153081971890368 = -1 · 26 · 37 · 1910 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 0 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2736741,-1743173696] |
[a1,a2,a3,a4,a6] |
j |
-7924672/3 |
j-invariant |
L |
0.2347528717031 |
L(r)(E,1)/r! |
Ω |
0.058688265211693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968cb1 34656p1 103968n1 |
Quadratic twists by: -4 -3 -19 |