Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008p |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-53322458112 = -1 · 210 · 35 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1328,21252] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-66:1] |
Generators of the group modulo torsion |
j |
-253130786500/52072713 |
j-invariant |
L |
8.0272658864161 |
L(r)(E,1)/r! |
Ω |
1.0737171954413 |
Real period |
R |
0.24920484703807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504p1 |
Quadratic twists by: -4 |