Atkin-Lehner |
2- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648v |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
-4.2527268147899E+20 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 11+ 6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105139,-992269966] |
[a1,a2,a3,a4,a6] |
j |
-31380169872616713/103826338251707456 |
j-invariant |
L |
6.0854369155668 |
L(r)(E,1)/r! |
Ω |
0.076067951773774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13706d1 |
Quadratic twists by: -4 |