Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550j |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
12787200000000 = 215 · 33 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6450,-103500] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:276:1] |
Generators of the group modulo torsion |
j |
75988526665/32735232 |
j-invariant |
L |
2.4274922999917 |
L(r)(E,1)/r! |
Ω |
0.55393535477447 |
Real period |
R |
4.3822664126215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44400dh1 16650co1 5550be1 |
Quadratic twists by: -4 -3 5 |