Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040l |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1516903200000 = 28 · 38 · 55 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 5 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46308,-3835132] |
[a1,a2,a3,a4,a6] |
j |
203622820864/28125 |
j-invariant |
L |
2.6036292374887 |
L(r)(E,1)/r! |
Ω |
0.32545365107507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bj1 104040bl1 |
Quadratic twists by: -3 17 |