Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600ce |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-6492782592000000000 = -1 · 233 · 32 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83208,-122915088] |
[a1,a2,a3,a4,a6] |
Generators |
[65988:1905375:64] |
Generators of the group modulo torsion |
j |
-7964053973/811597824 |
j-invariant |
L |
5.9214602933963 |
L(r)(E,1)/r! |
Ω |
0.10519516374966 |
Real period |
R |
7.036279143372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450r1 51600dv1 |
Quadratic twists by: -4 5 |