Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200bm |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8266860000000000 = -1 · 211 · 310 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50325,504250] |
[a1,a2,a3,a4,a6] |
Generators |
[71:2106:1] |
Generators of the group modulo torsion |
j |
604223422/354375 |
j-invariant |
L |
5.4147794259604 |
L(r)(E,1)/r! |
Ω |
0.25111929898854 |
Real period |
R |
2.6953222272093 |
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 |
12600bs4 100800ms3 8400y4 5040n4 |
Quadratic twists by: -4 8 -3 5 |