Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608v |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1054803901859568 = -1 · 24 · 39 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7268,1578261] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:405:1] [-110:1029:1] |
Generators of the group modulo torsion |
j |
-22559008000/560355327 |
j-invariant |
L |
13.312847106626 |
L(r)(E,1)/r! |
Ω |
0.4119440557736 |
Real period |
R |
0.44884894363594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13944i1 |
Quadratic twists by: -7 |