Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25584g |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
618240 |
Modular degree for the optimal curve |
Δ |
1076121396488346624 = 210 · 35 · 137 · 413 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 5 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-530232,139801284] |
[a1,a2,a3,a4,a6] |
j |
16099870298990155492/1050899801258151 |
j-invariant |
L |
2.7103513752165 |
L(r)(E,1)/r! |
Ω |
0.27103513752164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12792a1 102336bw1 76752m1 |
Quadratic twists by: -4 8 -3 |