Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525y |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
5511452625 = 35 · 53 · 73 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-445,400] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:403:8] |
Generators of the group modulo torsion |
j |
228099131/128547 |
j-invariant |
L |
5.2799056149332 |
L(r)(E,1)/r! |
Ω |
1.1681380136627 |
Real period |
R |
2.2599665244066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84525dh1 84525cw1 |
Quadratic twists by: 5 -7 |