Atkin-Lehner |
2- 3+ 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550bp |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
3891360000000000 = 214 · 3 · 510 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-293438,-61230469] |
[a1,a2,a3,a4,a6] |
j |
178835132364370201/249047040000 |
j-invariant |
L |
5.7440050869361 |
L(r)(E,1)/r! |
Ω |
0.20514303602956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110j1 |
Quadratic twists by: 5 |