Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536d |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
11565312 = 28 · 3 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 11+ 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60,96] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:16:1] [1:6:1] |
Generators of the group modulo torsion |
j |
94875856/45177 |
j-invariant |
L |
4.6231838842116 |
L(r)(E,1)/r! |
Ω |
2.0190512604567 |
Real period |
R |
2.2897803412717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768m1 78144dc1 58608t1 |
Quadratic twists by: -4 8 -3 |