Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bf |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
7903100390625 = 37 · 58 · 11 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3252380,-2256802378] |
[a1,a2,a3,a4,a6] |
Generators |
[-4192095976472:2094057336835:4027268071] |
Generators of the group modulo torsion |
j |
334025696259022321/693825 |
j-invariant |
L |
3.9240206230947 |
L(r)(E,1)/r! |
Ω |
0.11242146611229 |
Real period |
R |
17.452274727915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23925s1 14355d1 |
Quadratic twists by: -3 5 |