Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
60984cc |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-2.0138451180087E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11312169,66687514927] |
[a1,a2,a3,a4,a6] |
j |
5820759945472/73222472421 |
j-invariant |
L |
3.919046991845 |
L(r)(E,1)/r! |
Ω |
0.061235109254983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968bb1 20328h1 60984p1 |
Quadratic twists by: -4 -3 -11 |