Atkin-Lehner |
3- 7+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91791c |
Isogeny class |
Conductor |
91791 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1564416 |
Modular degree for the optimal curve |
Δ |
-118526609253372579 = -1 · 37 · 77 · 313 · 472 |
Discriminant |
Eigenvalues |
2 3- -1 7+ 4 3 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-74973,-18352103] |
[a1,a2,a3,a4,a6] |
Generators |
[3218:32567:8] |
Generators of the group modulo torsion |
j |
-63930904880214016/162587941362651 |
j-invariant |
L |
14.441217249566 |
L(r)(E,1)/r! |
Ω |
0.13427642979811 |
Real period |
R |
4.4811839735462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30597c1 |
Quadratic twists by: -3 |