Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800bl |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
28856250000 = 24 · 35 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,-70537] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:9:1] |
Generators of the group modulo torsion |
j |
584362240/4617 |
j-invariant |
L |
5.4172548398333 |
L(r)(E,1)/r! |
Ω |
0.63465338517415 |
Real period |
R |
1.7071538469291 |
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 |
11400bg1 91200hf1 68400cq1 22800g1 |
Quadratic twists by: -4 8 -3 5 |