Atkin-Lehner |
2+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942f |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-904828893146918 = -1 · 2 · 19 · 478 |
Discriminant |
Eigenvalues |
2+ 1 -2 1 -4 -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65212,6565576] |
[a1,a2,a3,a4,a6] |
Generators |
[1406:51208:1] |
Generators of the group modulo torsion |
j |
-2845178713/83942 |
j-invariant |
L |
2.9445163821714 |
L(r)(E,1)/r! |
Ω |
0.49614251398708 |
Real period |
R |
1.4837049323413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786a1 |
Quadratic twists by: -47 |