Atkin-Lehner |
2- 3- 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40290y |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-1409827680 = -1 · 25 · 38 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,74,1796] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-58:1] |
Generators of the group modulo torsion |
j |
44776693151/1409827680 |
j-invariant |
L |
8.795367100452 |
L(r)(E,1)/r! |
Ω |
1.1438268836758 |
Real period |
R |
0.19223553900445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870n1 |
Quadratic twists by: -3 |