Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4140a |
Isogeny class |
Conductor |
4140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
3881250000 = 24 · 33 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648,5597] |
[a1,a2,a3,a4,a6] |
Generators |
[19:12:1] |
Generators of the group modulo torsion |
j |
69657034752/8984375 |
j-invariant |
L |
3.3093213731322 |
L(r)(E,1)/r! |
Ω |
1.3442712398776 |
Real period |
R |
2.4617958600628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16560y1 66240x1 4140b1 20700a1 |
Quadratic twists by: -4 8 -3 5 |