Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200g |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-444713220000000000 = -1 · 211 · 33 · 510 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211875,49381250] |
[a1,a2,a3,a4,a6] |
Generators |
[511:8634:1] |
Generators of the group modulo torsion |
j |
-1947910950/823543 |
j-invariant |
L |
5.7809558074515 |
L(r)(E,1)/r! |
Ω |
0.27835339378863 |
Real period |
R |
5.1921010632992 |
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 |
12600f1 100800jf1 25200i1 25200s1 |
Quadratic twists by: -4 8 -3 5 |