Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904bt |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-722137547538432 = -1 · 230 · 34 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1217,1292607] |
[a1,a2,a3,a4,a6] |
Generators |
[37:1140:1] |
Generators of the group modulo torsion |
j |
-761048497/2754736128 |
j-invariant |
L |
7.0993317041717 |
L(r)(E,1)/r! |
Ω |
0.4072607209873 |
Real period |
R |
2.178988587526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83904b1 20976e1 |
Quadratic twists by: -4 8 |