Atkin-Lehner |
3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30225c |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14274228515625 = 32 · 510 · 132 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83963,9327656] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:3937:1] |
Generators of the group modulo torsion |
j |
4189554574052329/913550625 |
j-invariant |
L |
3.0971658637515 |
L(r)(E,1)/r! |
Ω |
0.68467151452412 |
Real period |
R |
2.2617896305385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90675r2 6045g2 |
Quadratic twists by: -3 5 |