Atkin-Lehner |
2+ 3+ 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450t |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1291852800000000 = 216 · 34 · 58 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27450,-283500] |
[a1,a2,a3,a4,a6] |
Generators |
[260:-3330:1] |
Generators of the group modulo torsion |
j |
5856193852105/3307143168 |
j-invariant |
L |
4.3072001615317 |
L(r)(E,1)/r! |
Ω |
0.39967942076794 |
Real period |
R |
0.89805311072876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450cm1 |
Quadratic twists by: 5 |