Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008bb |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-214989432724389888 = -1 · 238 · 32 · 432 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102104,-25634028] |
[a1,a2,a3,a4,a6] |
Generators |
[28972:4931154:1] |
Generators of the group modulo torsion |
j |
-28740630170206297/52487654473728 |
j-invariant |
L |
3.6049122838563 |
L(r)(E,1)/r! |
Ω |
0.12589906412375 |
Real period |
R |
7.1583381242719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12126a1 |
Quadratic twists by: -4 |