Atkin-Lehner |
3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30153g |
Isogeny class |
Conductor |
30153 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-43507938891432699 = -1 · 34 · 193 · 238 |
Discriminant |
Eigenvalues |
-2 3- 3 -1 -1 0 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9346,-10026436] |
[a1,a2,a3,a4,a6] |
Generators |
[1441:54751:1] |
Generators of the group modulo torsion |
j |
609800192/293901291 |
j-invariant |
L |
4.2181622164463 |
L(r)(E,1)/r! |
Ω |
0.16877155777433 |
Real period |
R |
1.5620827466699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90459n1 1311d1 |
Quadratic twists by: -3 -23 |