Atkin-Lehner |
2+ 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109554c |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
402161760 |
Modular degree for the optimal curve |
Δ |
-1.1598129914917E+31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 5 -3 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5134185284,216555842972880] |
[a1,a2,a3,a4,a6] |
Generators |
[259833793709616142414687306683597069733:572781336751999151004080899544574662533716:42108741624862401666545090525076379] |
Generators of the group modulo torsion |
j |
-17548692913948559923273/13598606862742493184 |
j-invariant |
L |
6.3781719924242 |
L(r)(E,1)/r! |
Ω |
0.020792194948415 |
Real period |
R |
51.126332166535 |
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 |
109554m1 |
Quadratic twists by: -31 |