Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9999l |
Isogeny class |
Conductor |
9999 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
35574072237 = 37 · 115 · 101 |
Discriminant |
Eigenvalues |
0 3- -2 -5 11- 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-966,7155] |
[a1,a2,a3,a4,a6] |
Generators |
[5:49:1] |
Generators of the group modulo torsion |
j |
136750071808/48798453 |
j-invariant |
L |
2.1421285530329 |
L(r)(E,1)/r! |
Ω |
1.0631353734931 |
Real period |
R |
0.10074580370676 |
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 |
3333e1 109989l1 |
Quadratic twists by: -3 -11 |