Atkin-Lehner |
3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63897l |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-59168882426472531 = -1 · 310 · 198 · 59 |
Discriminant |
Eigenvalues |
-1 3- -2 0 6 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,78871,-8010876] |
[a1,a2,a3,a4,a6] |
Generators |
[448:10606:1] |
Generators of the group modulo torsion |
j |
1153330571303/1257684651 |
j-invariant |
L |
4.7545570525122 |
L(r)(E,1)/r! |
Ω |
0.18993584128498 |
Real period |
R |
2.5032437376324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363c2 |
Quadratic twists by: -19 |