Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
3792b |
Isogeny class |
Conductor |
3792 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-804928939619328 = -1 · 210 · 313 · 793 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 5 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23504,1938180] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:1422:1] |
Generators of the group modulo torsion |
j |
-1402386001982788/786063417597 |
j-invariant |
L |
4.0898773794199 |
L(r)(E,1)/r! |
Ω |
0.46679448051382 |
Real period |
R |
0.11232850336932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1896b1 15168j1 11376e1 94800f1 |
Quadratic twists by: -4 8 -3 5 |