Atkin-Lehner |
3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525bp |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-20043946125 = -1 · 36 · 53 · 72 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200,-6848] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-340:1] [28:80:1] |
Generators of the group modulo torsion |
j |
-9663597/219961 |
j-invariant |
L |
7.7463098072151 |
L(r)(E,1)/r! |
Ω |
0.52599798129326 |
Real period |
R |
1.8408601561159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11725f2 105525bl2 |
Quadratic twists by: -3 5 |