Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904bu |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
-1341902141227008 = -1 · 215 · 311 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 6 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18049,-2000353] |
[a1,a2,a3,a4,a6] |
Generators |
[203:1656:1] |
Generators of the group modulo torsion |
j |
-19845281961224/40951603431 |
j-invariant |
L |
6.2745094650829 |
L(r)(E,1)/r! |
Ω |
0.19328306108264 |
Real period |
R |
0.24593030757461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904v1 41952m1 |
Quadratic twists by: -4 8 |