Atkin-Lehner |
2+ 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144q |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3218581548711936 = 214 · 34 · 116 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2363857,1399663825] |
[a1,a2,a3,a4,a6] |
j |
89159486481392095312/196446627729 |
j-invariant |
L |
2.3176341743852 |
L(r)(E,1)/r! |
Ω |
0.38627236171038 |
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 |
78144ct2 9768p2 |
Quadratic twists by: -4 8 |