Atkin-Lehner |
2+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
95680d |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-97406335931919040 = -1 · 26 · 5 · 132 · 239 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-354141,-82377289] |
[a1,a2,a3,a4,a6] |
Generators |
[10192668753046021699324883910:-394708901771430217042111648387:5883320062305002631860307] |
Generators of the group modulo torsion |
j |
-76749153178275905536/1521973998936235 |
j-invariant |
L |
8.6750428659285 |
L(r)(E,1)/r! |
Ω |
0.097738357104021 |
Real period |
R |
44.378906720807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680bg3 1495c3 |
Quadratic twists by: -4 8 |