Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506o |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-4561286422 = -1 · 2 · 72 · 115 · 172 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11- -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15,3248] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-65:1] |
Generators of the group modulo torsion |
j |
-1171657/15782998 |
j-invariant |
L |
3.6494742477658 |
L(r)(E,1)/r! |
Ω |
1.1004283149043 |
Real period |
R |
0.3316412526226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506a1 |
Quadratic twists by: 17 |