Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488di |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-2879984633315328 = -1 · 216 · 32 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36129,3683007] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1029:1] |
Generators of the group modulo torsion |
j |
-1972156/1089 |
j-invariant |
L |
6.0757932031417 |
L(r)(E,1)/r! |
Ω |
0.41995637300482 |
Real period |
R |
1.8084596317683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488gn1 12936s1 103488v1 |
Quadratic twists by: -4 8 -7 |