Atkin-Lehner |
2+ 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904b |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10409562599325696 = 224 · 32 · 194 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185537,-30304575] |
[a1,a2,a3,a4,a6] |
Generators |
[59830848175:599322232320:109902239] |
Generators of the group modulo torsion |
j |
2694497104134577/39709329984 |
j-invariant |
L |
7.0681449310555 |
L(r)(E,1)/r! |
Ω |
0.23023925827277 |
Real period |
R |
15.349565008265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009097 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83904bt2 2622e2 |
Quadratic twists by: -4 8 |