Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225bh |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-51282471779296875 = -1 · 37 · 59 · 13 · 314 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-542833,154142869] |
[a1,a2,a3,a4,a6] |
Generators |
[-367:17437:1] |
Generators of the group modulo torsion |
j |
-9057184145211392/26256625551 |
j-invariant |
L |
5.5517632896183 |
L(r)(E,1)/r! |
Ω |
0.35694421397785 |
Real period |
R |
0.27774264517959 |
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 |
90675cb1 30225n1 |
Quadratic twists by: -3 5 |