Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912by |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-278208 = -1 · 26 · 33 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 5 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19,35] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
-12487168/4347 |
j-invariant |
L |
5.8269553977774 |
L(r)(E,1)/r! |
Ω |
2.9124449835381 |
Real period |
R |
0.66690305805065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30912bt1 15456a1 92736ep1 |
Quadratic twists by: -4 8 -3 |