Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525by |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6700736709228515625 = 32 · 512 · 78 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3523126,-2542552477] |
[a1,a2,a3,a4,a6] |
Generators |
[-176800041705794982:-188665365603750161:162181779545304] |
Generators of the group modulo torsion |
j |
2630872462131649/3645140625 |
j-invariant |
L |
10.531838997392 |
L(r)(E,1)/r! |
Ω |
0.11020559936268 |
Real period |
R |
23.89134276976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993441 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16905q2 12075c2 |
Quadratic twists by: 5 -7 |