Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30225bb |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
2361328125 = 3 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- -1 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-333,-256] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:371:8] |
Generators of the group modulo torsion |
j |
2097152/1209 |
j-invariant |
L |
5.0693691259149 |
L(r)(E,1)/r! |
Ω |
1.2176181870232 |
Real period |
R |
2.081674362268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675bk1 30225q1 |
Quadratic twists by: -3 5 |