Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210co |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
506023470 = 2 · 33 · 5 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 4 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257,1219] |
[a1,a2,a3,a4,a6] |
Generators |
[22:169:8] |
Generators of the group modulo torsion |
j |
36963/10 |
j-invariant |
L |
12.671873484149 |
L(r)(E,1)/r! |
Ω |
1.5428446607239 |
Real period |
R |
4.1066588902459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210f1 123210e1 |
Quadratic twists by: -3 37 |