Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680be |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-4.94002974136E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1953304,-3214863504] |
[a1,a2,a3,a4,a6] |
j |
201220887466050475031/1206061948574208000 |
j-invariant |
L |
1.2311378363946 |
L(r)(E,1)/r! |
Ω |
0.06839654010254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210m2 |
Quadratic twists by: -4 |