Atkin-Lehner |
3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30975t |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
896435859375 = 34 · 57 · 74 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39563,3025242] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-21:1] |
Generators of the group modulo torsion |
j |
438300554728681/57371895 |
j-invariant |
L |
4.7483466012942 |
L(r)(E,1)/r! |
Ω |
0.85387858296416 |
Real period |
R |
1.390228861582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92925p4 6195c4 |
Quadratic twists by: -3 5 |