Atkin-Lehner |
11- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98527i |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19709760 |
Modular degree for the optimal curve |
Δ |
-1.3932710497065E+24 |
Discriminant |
Eigenvalues |
-2 -2 2 1 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26447542,-77247444244] |
[a1,a2,a3,a4,a6] |
j |
-423857196397779300352/288652617020172691 |
j-invariant |
L |
0.58155166575391 |
L(r)(E,1)/r! |
Ω |
0.032308431623066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7579a1 |
Quadratic twists by: 13 |