Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30225bc |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
22666954950700125 = 3 · 53 · 133 · 317 |
Discriminant |
Eigenvalues |
0 3- 5- -1 6 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-195703,32461054] |
[a1,a2,a3,a4,a6] |
Generators |
[-9564:204659:27] |
Generators of the group modulo torsion |
j |
6631447988778795008/181335639605601 |
j-invariant |
L |
5.9899601968414 |
L(r)(E,1)/r! |
Ω |
0.37946053461939 |
Real period |
R |
7.8927314573694 |
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 |
90675bl1 30225r1 |
Quadratic twists by: -3 5 |