Atkin-Lehner |
2- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34960f |
Isogeny class |
Conductor |
34960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
171072 |
Modular degree for the optimal curve |
Δ |
-103787500000000 = -1 · 28 · 511 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 -6 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122821,-16533879] |
[a1,a2,a3,a4,a6] |
j |
-800396479914901504/405419921875 |
j-invariant |
L |
0.5100325621751 |
L(r)(E,1)/r! |
Ω |
0.12750814055074 |
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 |
8740b1 |
Quadratic twists by: -4 |