Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080bo |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1291204800 = -1 · 26 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 1 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138,1838] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:45:1] |
Generators of the group modulo torsion |
j |
-6229504/27675 |
j-invariant |
L |
6.5735026867864 |
L(r)(E,1)/r! |
Ω |
1.3299700480589 |
Real period |
R |
1.2356486413549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999316648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080bl1 59040bb1 39360m1 |
Quadratic twists by: -4 8 -3 |