Atkin-Lehner |
11- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
85063b |
Isogeny class |
Conductor |
85063 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
972000 |
Modular degree for the optimal curve |
Δ |
44347784980282597 = 116 · 192 · 375 |
Discriminant |
Eigenvalues |
0 3 -2 1 11- -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-89056,-1407200] |
[a1,a2,a3,a4,a6] |
j |
44091731607552/25033168477 |
j-invariant |
L |
0.59684965928563 |
L(r)(E,1)/r! |
Ω |
0.29842493250757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
703a1 |
Quadratic twists by: -11 |