Atkin-Lehner |
2+ 3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
127794q |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
3250368 |
Modular degree for the optimal curve |
Δ |
-1420053178235340744 = -1 · 23 · 311 · 198 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 3 7 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,76163,-56753728] |
[a1,a2,a3,a4,a6] |
j |
2876969303/83613384 |
j-invariant |
L |
4.2971247147992 |
L(r)(E,1)/r! |
Ω |
0.13021594202758 |
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 |
127794bh1 |
Quadratic twists by: -19 |