Atkin-Lehner |
2- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
8888c |
Isogeny class |
Conductor |
8888 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
611520 |
Modular degree for the optimal curve |
Δ |
-7.8550493577026E+19 |
Discriminant |
Eigenvalues |
2- 2 -4 -5 11- 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2848400,1899780236] |
[a1,a2,a3,a4,a6] |
Generators |
[9865:966306:1] |
Generators of the group modulo torsion |
j |
-1247949017853525511202/38354733191907341 |
j-invariant |
L |
4.036105277664 |
L(r)(E,1)/r! |
Ω |
0.19223898124034 |
Real period |
R |
1.4996606424918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17776b1 71104f1 79992h1 97768d1 |
Quadratic twists by: -4 8 -3 -11 |