Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110cd |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
2705635230480 = 24 · 35 · 5 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1467355,683537945] |
[a1,a2,a3,a4,a6] |
Generators |
[-7377:884450:27] |
Generators of the group modulo torsion |
j |
2969894891179808929/22997520 |
j-invariant |
L |
6.9940484463479 |
L(r)(E,1)/r! |
Ω |
0.5585435875851 |
Real period |
R |
6.2609692437676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57330bh1 95550di1 2730ba1 |
Quadratic twists by: -3 5 -7 |