Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900be |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
2203200 |
Modular degree for the optimal curve |
Δ |
-440646888543750000 = -1 · 24 · 310 · 58 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-673958,215116713] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-13275:1] |
Generators of the group modulo torsion |
j |
-5416800460000000/70503502167 |
j-invariant |
L |
8.6954312754906 |
L(r)(E,1)/r! |
Ω |
0.29834806235199 |
Real period |
R |
0.16191810213029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998965426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123900n1 |
Quadratic twists by: 5 |