Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400s |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
690000000000 = 210 · 3 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3133,-53363] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:104:1] |
Generators of the group modulo torsion |
j |
212629504/43125 |
j-invariant |
L |
4.059999893837 |
L(r)(E,1)/r! |
Ω |
0.64719123515379 |
Real period |
R |
3.1366307999864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999927359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400iq1 13800w1 22080br1 |
Quadratic twists by: -4 8 5 |