Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576v |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11358720 |
Modular degree for the optimal curve |
Δ |
-7.4954353315194E+23 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -1 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108033312,-434202484048] |
[a1,a2,a3,a4,a6] |
Generators |
[613848318217182645744769171621628122142646378476156919884872:354370670475763524289469185856579767442361040721968746579130701:1840097267698443043044058474840529578426125852675498496] |
Generators of the group modulo torsion |
j |
-46699185669641238052864/251020612686449979 |
j-invariant |
L |
8.7195707285512 |
L(r)(E,1)/r! |
Ω |
0.023406719117509 |
Real period |
R |
93.131065109726 |
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 |
5661c1 30192r1 |
Quadratic twists by: -4 -3 |