Atkin-Lehner |
2- 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328r |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-7.5655642753356E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 -1 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3782381,-5051413371] |
[a1,a2,a3,a4,a6] |
Generators |
[2635:57188:1] [83980:24330043:1] |
Generators of the group modulo torsion |
j |
-1461031901533565161984/1847061590658107139 |
j-invariant |
L |
7.649276263009 |
L(r)(E,1)/r! |
Ω |
0.051670335836653 |
Real period |
R |
2.4673332513236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328x1 94656by1 |
Quadratic twists by: -4 8 |