Atkin-Lehner |
3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727c |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1192896 |
Modular degree for the optimal curve |
Δ |
-87570019360171683 = -1 · 33 · 1910 · 232 |
Discriminant |
Eigenvalues |
-1 3+ -4 3 4 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-219917,42226040] |
[a1,a2,a3,a4,a6] |
j |
-7105563/529 |
j-invariant |
L |
1.3358046238608 |
L(r)(E,1)/r! |
Ω |
0.33395115611306 |
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 |
74727d1 74727a1 |
Quadratic twists by: -3 -19 |