Atkin-Lehner |
3- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109263u |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2361064167 = -1 · 33 · 75 · 112 · 43 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2775,-56531] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1115:1] |
Generators of the group modulo torsion |
j |
-19521011279473/19512927 |
j-invariant |
L |
13.248345526323 |
L(r)(E,1)/r! |
Ω |
0.32888686648941 |
Real period |
R |
2.6854919487992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263p1 |
Quadratic twists by: -11 |