Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790dm |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-59886193988250 = -1 · 2 · 37 · 53 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7267,284127] |
[a1,a2,a3,a4,a6] |
Generators |
[286:5991:8] |
Generators of the group modulo torsion |
j |
10100279/14250 |
j-invariant |
L |
8.1887011099953 |
L(r)(E,1)/r! |
Ω |
0.42237532162108 |
Real period |
R |
4.846815550493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930l1 83790fo1 |
Quadratic twists by: -3 -7 |