Atkin-Lehner |
3- 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69615g |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.4939007085364E+26 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-503611358,-4309964039748] |
[a1,a2,a3,a4,a6] |
j |
19376830118286544051859258521/204924651376739150390625 |
j-invariant |
L |
1.1480362924354 |
L(r)(E,1)/r! |
Ω |
0.031889897174644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23205f2 |
Quadratic twists by: -3 |