Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475z |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1449491203125 = -1 · 36 · 56 · 74 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -1 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7992,283041] |
[a1,a2,a3,a4,a6] |
Generators |
[64:143:1] |
Generators of the group modulo torsion |
j |
-4956477625/127253 |
j-invariant |
L |
6.3190628722813 |
L(r)(E,1)/r! |
Ω |
0.84965509285313 |
Real period |
R |
0.92965117851946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9275c1 3339c1 |
Quadratic twists by: -3 5 |