Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
65072r |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
-1041152 = -1 · 28 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 1 2 7- 1 6 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,-113] |
[a1,a2,a3,a4,a6] |
Generators |
[855:106:125] |
Generators of the group modulo torsion |
j |
-458752/83 |
j-invariant |
L |
9.3839804350103 |
L(r)(E,1)/r! |
Ω |
0.95629829786089 |
Real period |
R |
4.9064086260436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16268h1 65072o1 |
Quadratic twists by: -4 -7 |