Atkin-Lehner |
3- 5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49995d |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.7155044199273E+24 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30252375,11441138800] |
[a1,a2,a3,a4,a6] |
Generators |
[26907310:49333437895:8] |
Generators of the group modulo torsion |
j |
4200244940347331632038001/2353229656964803235025 |
j-invariant |
L |
5.8136330865863 |
L(r)(E,1)/r! |
Ω |
0.072553788470766 |
Real period |
R |
10.016074296594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16665b5 |
Quadratic twists by: -3 |