Atkin-Lehner |
2- 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698bh |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
5.912474506638E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171068711,861163235007] |
[a1,a2,a3,a4,a6] |
j |
759465290701680853951645993/81103902697365575328 |
j-invariant |
L |
2.133032550985 |
L(r)(E,1)/r! |
Ω |
0.10665162755151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566a3 |
Quadratic twists by: -3 |