Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912bz |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-20022592475676672 = -1 · 214 · 315 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1913973,-1019843181] |
[a1,a2,a3,a4,a6] |
j |
-47327266415721472000/1222082060283 |
j-invariant |
L |
2.8880015985463 |
L(r)(E,1)/r! |
Ω |
0.064177813301034 |
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 |
30912h1 7728i1 92736ds1 |
Quadratic twists by: -4 8 -3 |