Atkin-Lehner |
5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80465b |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10419840 |
Modular degree for the optimal curve |
Δ |
-3.4028907900102E+21 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 11- -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-187999071,-992226534414] |
[a1,a2,a3,a4,a6] |
j |
-414796146484523639209984/1920843137780875 |
j-invariant |
L |
0.040771879969239 |
L(r)(E,1)/r! |
Ω |
0.02038592923632 |
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 |
7315b1 |
Quadratic twists by: -11 |