Atkin-Lehner |
2- 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410br |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
8.5518940626833E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127545962,-554398193239] |
[a1,a2,a3,a4,a6] |
j |
314772165543511714548281689/1173099322727481600 |
j-invariant |
L |
6.4691238473825 |
L(r)(E,1)/r! |
Ω |
0.044924471182298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470j1 |
Quadratic twists by: -3 |