Atkin-Lehner |
37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62197a |
Isogeny class |
Conductor |
62197 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8.3484914111355E+20 |
Discriminant |
Eigenvalues |
1 0 -2 4 -4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2745388,-1063748961] |
[a1,a2,a3,a4,a6] |
Generators |
[3006965943458330851510717340:241018728764859546279452127869:434256716650408877949632] |
Generators of the group modulo torsion |
j |
481761237764457/175753856917 |
j-invariant |
L |
4.346863347535 |
L(r)(E,1)/r! |
Ω |
0.12086727995055 |
Real period |
R |
35.963937876624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1517a2 |
Quadratic twists by: 41 |