Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23600bc |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-472000000000 = -1 · 212 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1792,14912] |
[a1,a2,a3,a4,a6] |
Generators |
[5592:82016:27] |
Generators of the group modulo torsion |
j |
79507/59 |
j-invariant |
L |
7.4576186062029 |
L(r)(E,1)/r! |
Ω |
0.59664574160043 |
Real period |
R |
6.2496202404787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1475b1 94400dp1 23600bd1 |
Quadratic twists by: -4 8 5 |