Atkin-Lehner |
2- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
9394m |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
22800 |
Modular degree for the optimal curve |
Δ |
120666456064 = 219 · 73 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 11- -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1479,-13761] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:62:1] |
Generators of the group modulo torsion |
j |
357563283664833/120666456064 |
j-invariant |
L |
3.0878911427007 |
L(r)(E,1)/r! |
Ω |
0.79088473113545 |
Real period |
R |
0.068497376022844 |
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 |
75152h1 84546x1 65758y1 103334e1 |
Quadratic twists by: -4 -3 -7 -11 |