Atkin-Lehner |
3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
85305v |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3095040 |
Modular degree for the optimal curve |
Δ |
-9.9617219234253E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 11- -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2729921,2305597685] |
[a1,a2,a3,a4,a6] |
j |
-1270041751836688384/562313232421875 |
j-invariant |
L |
1.1690995555677 |
L(r)(E,1)/r! |
Ω |
0.14613744563669 |
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 |
7755g1 |
Quadratic twists by: -11 |