Atkin-Lehner |
2- 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648m |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
90574848 |
Modular degree for the optimal curve |
Δ |
-2.498447758399E+26 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 11- 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17526564440,893080529129492] |
[a1,a2,a3,a4,a6] |
j |
-145363089940655448262351259315161/60997259726537627795456 |
j-invariant |
L |
1.0821631270423 |
L(r)(E,1)/r! |
Ω |
0.045090157145253 |
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 |
13706f1 |
Quadratic twists by: -4 |