Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240x |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-23950080 = -1 · 28 · 35 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55,-195] |
[a1,a2,a3,a4,a6] |
Generators |
[7:22:1] |
Generators of the group modulo torsion |
j |
70575104/93555 |
j-invariant |
L |
4.0607763636174 |
L(r)(E,1)/r! |
Ω |
1.1365828225367 |
Real period |
R |
1.786397032886 |
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 |
18480y1 73920cn1 27720g1 46200bg1 |
Quadratic twists by: -4 8 -3 5 |