Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325d |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-2.6123063950569E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,378487,-228834844] |
[a1,a2,a3,a4,a6] |
j |
383757181824152375/1671876092836413 |
j-invariant |
L |
0.21387437848673 |
L(r)(E,1)/r! |
Ω |
0.10693718924294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87975u1 1173d1 |
Quadratic twists by: -3 5 |