Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578g |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-154944438894 = -1 · 2 · 33 · 76 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-303,19123] |
[a1,a2,a3,a4,a6] |
Generators |
[11:125:1] |
Generators of the group modulo torsion |
j |
-970299/48778 |
j-invariant |
L |
4.8548278100384 |
L(r)(E,1)/r! |
Ω |
0.85025735964856 |
Real period |
R |
0.9516388881058 |
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 |
25578bd2 522c1 |
Quadratic twists by: -3 -7 |