Atkin-Lehner |
3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48321h |
Isogeny class |
Conductor |
48321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-230926059 = -1 · 36 · 7 · 13 · 592 |
Discriminant |
Eigenvalues |
0 3- -1 7+ -2 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,742] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:29:1] |
Generators of the group modulo torsion |
j |
-16777216/316771 |
j-invariant |
L |
4.0842248330865 |
L(r)(E,1)/r! |
Ω |
1.4856885511013 |
Real period |
R |
0.68726127526046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369c1 |
Quadratic twists by: -3 |