Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200bq |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-165337200 = -1 · 24 · 310 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,1685] |
[a1,a2,a3,a4,a6] |
Generators |
[4:27:1] |
Generators of the group modulo torsion |
j |
-6288640/567 |
j-invariant |
L |
5.35728828144 |
L(r)(E,1)/r! |
Ω |
1.7739548425919 |
Real period |
R |
1.5099844011848 |
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 |
12600o1 100800nl1 8400h1 25200cc1 |
Quadratic twists by: -4 8 -3 5 |