Atkin-Lehner |
3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30723c |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-11743608707523 = -1 · 33 · 78 · 11 · 193 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11+ -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3757,137780] |
[a1,a2,a3,a4,a6] |
j |
49836032000/99819027 |
j-invariant |
L |
0.98817025317634 |
L(r)(E,1)/r! |
Ω |
0.49408512658785 |
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 |
92169ba1 4389h1 |
Quadratic twists by: -3 -7 |