Atkin-Lehner |
11- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9361a |
Isogeny class |
Conductor |
9361 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-1412854548203883059 = -1 · 1112 · 233 · 37 |
Discriminant |
Eigenvalues |
0 1 3 2 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-321619,90441600] |
[a1,a2,a3,a4,a6] |
Generators |
[27821491280160:-353600326464965:70342705152] |
Generators of the group modulo torsion |
j |
-3679172532313770852352/1412854548203883059 |
j-invariant |
L |
5.4043224640206 |
L(r)(E,1)/r! |
Ω |
0.25357086582528 |
Real period |
R |
15.984651213078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84249e1 102971b1 |
Quadratic twists by: -3 -11 |