Atkin-Lehner |
2- 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25530be |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
285254902848228480 = 27 · 316 · 5 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-198601,-22381159] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:3011:1] |
Generators of the group modulo torsion |
j |
866299655314765356049/285254902848228480 |
j-invariant |
L |
9.3054941896961 |
L(r)(E,1)/r! |
Ω |
0.23211075688517 |
Real period |
R |
0.71590623946792 |
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 |
76590ba3 127650j3 |
Quadratic twists by: -3 5 |