Atkin-Lehner |
2+ 3- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814h |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1219046400 |
Modular degree for the optimal curve |
Δ |
-6.0508555383357E+34 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 3 13+ 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-190006341651,-34004599243217739] |
[a1,a2,a3,a4,a6] |
j |
-1040639897409959096487142457243808817/83002133584852389084362205855744 |
j-invariant |
L |
1.0365475449095 |
L(r)(E,1)/r! |
Ω |
0.0035991237617654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938q1 |
Quadratic twists by: -3 |