Atkin-Lehner |
3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655a |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-30594375 = -1 · 33 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 2 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-173,956] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:40:1] [6:7:1] |
Generators of the group modulo torsion |
j |
-21093208947/1133125 |
j-invariant |
L |
3.9976617416785 |
L(r)(E,1)/r! |
Ω |
2.0624547774538 |
Real period |
R |
0.96915136888797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11655b1 58275a1 81585h1 |
Quadratic twists by: -3 5 -7 |