Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394bb |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8398080 |
Modular degree for the optimal curve |
Δ |
1870250605347078144 = 218 · 39 · 233 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 3 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38476700,91860659930] |
[a1,a2,a3,a4,a6] |
Generators |
[3057:51463:1] |
Generators of the group modulo torsion |
j |
517766132394291166977599/153715016466432 |
j-invariant |
L |
5.647118110487 |
L(r)(E,1)/r! |
Ω |
0.21164651178162 |
Real period |
R |
0.74116219055722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98394z1 |
Quadratic twists by: -23 |