Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790x |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
12609858207744000 = 218 · 310 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-241740,-45367344] |
[a1,a2,a3,a4,a6] |
Generators |
[13425:1547691:1] |
Generators of the group modulo torsion |
j |
6248109436056487/50429952000 |
j-invariant |
L |
3.6306475701463 |
L(r)(E,1)/r! |
Ω |
0.21541390885859 |
Real period |
R |
8.4271428690111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930dj1 83790ca1 |
Quadratic twists by: -3 -7 |