Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351r |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.1943122792586E+22 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-289065309,-1891641811536] |
[a1,a2,a3,a4,a6] |
Generators |
[6779205930:113378538603:343000] |
Generators of the group modulo torsion |
j |
22705098810950702860926913/526507856357349321 |
j-invariant |
L |
4.5253826153803 |
L(r)(E,1)/r! |
Ω |
0.036614336221494 |
Real period |
R |
15.449490160523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953064 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11193a2 |
Quadratic twists by: -7 |