Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25440i |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380800 |
Modular degree for the optimal curve |
Δ |
-574800592646131200 = -1 · 29 · 325 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -3 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1144120,472829332] |
[a1,a2,a3,a4,a6] |
Generators |
[684:3130:1] |
Generators of the group modulo torsion |
j |
-323495961276992495048/1122657407511975 |
j-invariant |
L |
5.2424284048131 |
L(r)(E,1)/r! |
Ω |
0.29206448786823 |
Real period |
R |
4.4873894487117 |
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 |
25440u1 50880di1 76320bg1 127200dc1 |
Quadratic twists by: -4 8 -3 5 |