Atkin-Lehner |
3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
1113c |
Isogeny class |
Conductor |
1113 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-270459 = -1 · 36 · 7 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 3 7+ -3 4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,16,2] |
[a1,a2,a3,a4,a6] |
Generators |
[5:13:1] |
Generators of the group modulo torsion |
j |
425259008/270459 |
j-invariant |
L |
1.3571083444129 |
L(r)(E,1)/r! |
Ω |
1.9264314175064 |
Real period |
R |
0.35223375513923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17808bb1 71232bk1 3339d1 27825s1 |
Quadratic twists by: -4 8 -3 5 |