Atkin-Lehner |
3+ 5- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85095f |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
6133222125 = 33 · 53 · 313 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 0 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-792,7707] |
[a1,a2,a3,a4,a6] |
j |
2034864488448/227156375 |
j-invariant |
L |
2.5999362718423 |
L(r)(E,1)/r! |
Ω |
1.2999681100925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85095c2 |
Quadratic twists by: -3 |