Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fw |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
295803200 = 26 · 52 · 75 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-243,1123] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:49:1] |
Generators of the group modulo torsion |
j |
995883520/184877 |
j-invariant |
L |
5.2720010427142 |
L(r)(E,1)/r! |
Ω |
1.643291361158 |
Real period |
R |
0.64163923532118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200er1 61600p1 123200gv1 |
Quadratic twists by: -4 8 5 |