Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
93492s |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
3563753859792 = 24 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8820,305613] |
[a1,a2,a3,a4,a6] |
Generators |
[511:11368:1] |
Generators of the group modulo torsion |
j |
55296000/2597 |
j-invariant |
L |
6.7267425517967 |
L(r)(E,1)/r! |
Ω |
0.78084786923472 |
Real period |
R |
4.3073323326437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10388c1 13356f1 |
Quadratic twists by: -3 -7 |