Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12300p |
Isogeny class |
Conductor |
12300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
103781250000 = 24 · 34 · 59 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1333,10088] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:162:1] |
Generators of the group modulo torsion |
j |
8388608/3321 |
j-invariant |
L |
5.5354297079951 |
L(r)(E,1)/r! |
Ω |
0.9642061362651 |
Real period |
R |
2.8704596972577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49200cm1 36900o1 12300i1 |
Quadratic twists by: -4 -3 5 |