Atkin-Lehner |
2+ 3+ 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85410b |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12529664 |
Modular degree for the optimal curve |
Δ |
-1.045197759814E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12833571,-45897642747] |
[a1,a2,a3,a4,a6] |
j |
8657698981368793651931637/38711028141260800000000 |
j-invariant |
L |
0.70689879454019 |
L(r)(E,1)/r! |
Ω |
0.044181174842854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85410q1 |
Quadratic twists by: -3 |