Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600n |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11128320 |
Modular degree for the optimal curve |
Δ |
-3.4369059307293E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22515233,-49857411423] |
[a1,a2,a3,a4,a6] |
Generators |
[13581747812335387832090957003:15759834946525060191365402624:2422894290490879139628611] |
Generators of the group modulo torsion |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
5.7126518526877 |
L(r)(E,1)/r! |
Ω |
0.034169182657041 |
Real period |
R |
41.796813740221 |
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 |
81600if1 2550j1 81600fa1 |
Quadratic twists by: -4 8 5 |