Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200q |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1185408000 = 210 · 33 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1755,28250] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-42:1] |
Generators of the group modulo torsion |
j |
172974204/343 |
j-invariant |
L |
5.8182470215239 |
L(r)(E,1)/r! |
Ω |
1.5415177284323 |
Real period |
R |
0.31453022532114 |
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 |
12600h1 100800kq1 25200r1 25200o1 |
Quadratic twists by: -4 8 -3 5 |