Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
76725p |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8113471572744140625 = 310 · 510 · 114 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-591755,-109019878] |
[a1,a2,a3,a4,a6] |
j |
2011876316615521/712293800625 |
j-invariant |
L |
0.70864422501558 |
L(r)(E,1)/r! |
Ω |
0.17716105051932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25575k2 15345a2 |
Quadratic twists by: -3 5 |