Atkin-Lehner |
2- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50840j |
Isogeny class |
Conductor |
50840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
584300822476928000 = 210 · 53 · 312 · 416 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2585640,1600735100] |
[a1,a2,a3,a4,a6] |
Generators |
[28290:172360:27] |
Generators of the group modulo torsion |
j |
1866930266798483271844/570606271950125 |
j-invariant |
L |
10.658056214461 |
L(r)(E,1)/r! |
Ω |
0.28424658286801 |
Real period |
R |
6.2493018719178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680l2 |
Quadratic twists by: -4 |