Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200ca |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-12247200000000 = -1 · 211 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,171250] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:450:1] |
Generators of the group modulo torsion |
j |
-1250/21 |
j-invariant |
L |
4.7650295568502 |
L(r)(E,1)/r! |
Ω |
0.60140468329261 |
Real period |
R |
0.33013194562286 |
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 |
12600bf1 100800on1 8400ba1 25200bp1 |
Quadratic twists by: -4 8 -3 5 |