Atkin-Lehner |
3+ 37+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9213a |
Isogeny class |
Conductor |
9213 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
51799935879 = 32 · 375 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 1 0 2 -1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6090,-185136] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:26:1] |
Generators of the group modulo torsion |
j |
24979287528992161/51799935879 |
j-invariant |
L |
2.6784950009197 |
L(r)(E,1)/r! |
Ω |
0.54050406853294 |
Real period |
R |
2.4777750592977 |
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 |
27639h1 |
Quadratic twists by: -3 |