Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152bb |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-156324225024 = -1 · 213 · 35 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1936,37268] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:264:1] [-44:198:1] |
Generators of the group modulo torsion |
j |
-196021690129/38165094 |
j-invariant |
L |
8.9273890501257 |
L(r)(E,1)/r! |
Ω |
0.9831861086369 |
Real period |
R |
0.15133433659716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3894j1 124608cd1 93456bg1 |
Quadratic twists by: -4 8 -3 |