Atkin-Lehner |
11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39083b |
Isogeny class |
Conductor |
39083 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
104544 |
Modular degree for the optimal curve |
Δ |
-220107343111777 = -1 · 119 · 173 · 19 |
Discriminant |
Eigenvalues |
1 0 0 -2 11+ -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71957,-7445718] |
[a1,a2,a3,a4,a6] |
Generators |
[5294:382012:1] |
Generators of the group modulo torsion |
j |
-17474794875/93347 |
j-invariant |
L |
4.3765330599348 |
L(r)(E,1)/r! |
Ω |
0.14570091769269 |
Real period |
R |
5.0062977516307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39083a1 |
Quadratic twists by: -11 |