Atkin-Lehner |
2+ 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904d |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-18809682624 = -1 · 26 · 34 · 193 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 -1 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,71,6571] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:69:1] |
Generators of the group modulo torsion |
j |
609800192/293901291 |
j-invariant |
L |
7.0163797939273 |
L(r)(E,1)/r! |
Ω |
0.95130457224311 |
Real period |
R |
1.8438836518301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904bv1 1311d1 |
Quadratic twists by: -4 8 |