Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22540c |
Isogeny class |
Conductor |
22540 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24696 |
Modular degree for the optimal curve |
Δ |
-519754458160 = -1 · 24 · 5 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19208,-1025227] |
[a1,a2,a3,a4,a6] |
Generators |
[11197312912871:310140889223990:14119845713] |
Generators of the group modulo torsion |
j |
-173408256/115 |
j-invariant |
L |
4.5321977280103 |
L(r)(E,1)/r! |
Ω |
0.20275975076456 |
Real period |
R |
22.352551287524 |
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 |
90160bx1 112700k1 22540j1 |
Quadratic twists by: -4 5 -7 |