Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200ff |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.267824106824E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408492075,-3177762547750] |
[a1,a2,a3,a4,a6] |
j |
161572377633716256481/914742821250 |
j-invariant |
L |
2.1492343223997 |
L(r)(E,1)/r! |
Ω |
0.033581786278816 |
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 |
7650ca7 20400bt7 12240bm7 |
Quadratic twists by: -4 -3 5 |