Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800l |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-626843840000000 = -1 · 212 · 57 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51133,4627637] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2300:1] |
Generators of the group modulo torsion |
j |
-231023443456/9794435 |
j-invariant |
L |
3.6093650551323 |
L(r)(E,1)/r! |
Ω |
0.50904212014732 |
Real period |
R |
0.44315649185848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998126241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128800w1 25760i1 |
Quadratic twists by: -4 5 |