Atkin-Lehner |
2- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
71390q |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1471671153920 = -1 · 28 · 5 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- -2 11- -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2725,-80255] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2327:1] |
Generators of the group modulo torsion |
j |
-1263214441/830720 |
j-invariant |
L |
11.200331853369 |
L(r)(E,1)/r! |
Ω |
0.32093039446208 |
Real period |
R |
1.0906114735622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6490e1 |
Quadratic twists by: -11 |