Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410cw |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
3840 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
613440105062400000 = 216 · 38 · 55 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-321670,59226212] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:10478:1] |
Generators of the group modulo torsion |
j |
2765523913831303451/460886630400000 |
j-invariant |
L |
10.787246575523 |
L(r)(E,1)/r! |
Ω |
0.27620023052812 |
Real period |
R |
0.040683221593809 |
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 |
76230z1 127050a1 25410bh1 |
Quadratic twists by: -3 5 -11 |