Atkin-Lehner |
2+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
83582g |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-6985950724 = -1 · 22 · 234 · 792 |
Discriminant |
Eigenvalues |
2+ 0 -1 -4 -4 -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,430,1992] |
[a1,a2,a3,a4,a6] |
Generators |
[6:66:1] [-26:201:8] [-1:40:1] |
Generators of the group modulo torsion |
j |
31379751/24964 |
j-invariant |
L |
9.0279055959078 |
L(r)(E,1)/r! |
Ω |
0.85502647246769 |
Real period |
R |
0.87988558313615 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83582b1 |
Quadratic twists by: -23 |