Atkin-Lehner |
2+ 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090n |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8552448 |
Modular degree for the optimal curve |
Δ |
-1.2195104636574E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8905677,11523182301] |
[a1,a2,a3,a4,a6] |
j |
-663951516514444694089/103656679075676160 |
j-invariant |
L |
0.48934624248034 |
L(r)(E,1)/r! |
Ω |
0.1223365590709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870e1 |
Quadratic twists by: -7 |