Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bv |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
32768540672 = 214 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-849,4145] |
[a1,a2,a3,a4,a6] |
Generators |
[77:624:1] |
Generators of the group modulo torsion |
j |
35152/17 |
j-invariant |
L |
6.3958950746119 |
L(r)(E,1)/r! |
Ω |
1.0388726379785 |
Real period |
R |
3.0782864235932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312p1 13328d1 1088m1 |
Quadratic twists by: -4 8 -7 |