Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2300h |
Isogeny class |
Conductor |
2300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
3680000 = 28 · 54 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -3 5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,388] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:10:1] |
Generators of the group modulo torsion |
j |
878800/23 |
j-invariant |
L |
2.1865683693391 |
L(r)(E,1)/r! |
Ω |
2.4842363075524 |
Real period |
R |
0.88017728534587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9200bi1 36800bi1 20700t1 2300f1 |
Quadratic twists by: -4 8 -3 5 |