Atkin-Lehner |
3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575i |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1001352965066015625 = -1 · 312 · 58 · 76 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167855,-54899728] |
[a1,a2,a3,a4,a6] |
Generators |
[4382:31055:8] [624:8800:1] |
Generators of the group modulo torsion |
j |
-45917324980129/87910274025 |
j-invariant |
L |
6.4090898841266 |
L(r)(E,1)/r! |
Ω |
0.11099355339249 |
Real period |
R |
7.2178627589638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21525z2 12915q2 |
Quadratic twists by: -3 5 |