Atkin-Lehner |
2- 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30798s |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
97152 |
Modular degree for the optimal curve |
Δ |
-31389810425856 = -1 · 223 · 37 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 0 0 -6 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2174,272909] |
[a1,a2,a3,a4,a6] |
Generators |
[57:547:1] [-63:427:1] |
Generators of the group modulo torsion |
j |
-1558071944857/43058724864 |
j-invariant |
L |
10.263592123126 |
L(r)(E,1)/r! |
Ω |
0.55113674237884 |
Real period |
R |
0.20241942764606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266b1 |
Quadratic twists by: -3 |