Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120y |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
250480230400 = 216 · 52 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1612,6384] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2772:1] |
Generators of the group modulo torsion |
j |
7068689316/3822025 |
j-invariant |
L |
8.0547028699479 |
L(r)(E,1)/r! |
Ω |
0.86018669959981 |
Real period |
R |
4.6819503565242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025092 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
125120ck2 15640f2 |
Quadratic twists by: -4 8 |