Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050i |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-40550625000 = -1 · 23 · 36 · 57 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 1 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2817,-57659] |
[a1,a2,a3,a4,a6] |
j |
-217081801/3560 |
j-invariant |
L |
1.3093406504199 |
L(r)(E,1)/r! |
Ω |
0.32733516261828 |
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 |
4450l1 8010i1 |
Quadratic twists by: -3 5 |