Atkin-Lehner |
3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975bc |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
1749327346880859375 = 37 · 59 · 76 · 592 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1510701,711722173] |
[a1,a2,a3,a4,a6] |
Generators |
[23:26007:1] |
Generators of the group modulo torsion |
j |
195222023474235029/895655601603 |
j-invariant |
L |
8.6232698209282 |
L(r)(E,1)/r! |
Ω |
0.26640957225702 |
Real period |
R |
0.77067781903596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92925bk2 30975m2 |
Quadratic twists by: -3 5 |