Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391m |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
3.9397832640216E+20 |
Discriminant |
Eigenvalues |
2 3+ 1 7- 11- -4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18945400,31731716595] |
[a1,a2,a3,a4,a6] |
j |
15985030403346927616/8374342621029 |
j-invariant |
L |
3.3312232869449 |
L(r)(E,1)/r! |
Ω |
0.16656117014759 |
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 |
4389k2 |
Quadratic twists by: -19 |