Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5796h |
Isogeny class |
Conductor |
5796 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-228069842418254592 = -1 · 28 · 321 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4306440,-3439817516] |
[a1,a2,a3,a4,a6] |
Generators |
[6972232:803558475:512] |
Generators of the group modulo torsion |
j |
-47327266415721472000/1222082060283 |
j-invariant |
L |
4.05809341456 |
L(r)(E,1)/r! |
Ω |
0.052400965131712 |
Real period |
R |
6.4535920352481 |
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 |
23184bg1 92736ci1 1932b1 40572x1 |
Quadratic twists by: -4 8 -3 -7 |