Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600w |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-7552000000 = -1 · 213 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 1 3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1608,25712] |
[a1,a2,a3,a4,a6] |
Generators |
[2:150:1] |
Generators of the group modulo torsion |
j |
-7189057/118 |
j-invariant |
L |
6.7877058674578 |
L(r)(E,1)/r! |
Ω |
1.3220779741398 |
Real period |
R |
1.2835297917799 |
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 |
2950f1 94400ce1 944k1 |
Quadratic twists by: -4 8 5 |