Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344df |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-78722482176 = -1 · 214 · 37 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,13520] |
[a1,a2,a3,a4,a6] |
Generators |
[13:117:1] |
Generators of the group modulo torsion |
j |
-16/3 |
j-invariant |
L |
7.1632359077291 |
L(r)(E,1)/r! |
Ω |
0.88634418591374 |
Real period |
R |
1.0102221023501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gl1 12168j1 32448o1 97344dd1 |
Quadratic twists by: -4 8 -3 13 |