Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fv |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-1303276351915819008 = -1 · 218 · 36 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42189,54824434] |
[a1,a2,a3,a4,a6] |
Generators |
[1257:45760:1] |
Generators of the group modulo torsion |
j |
68921/10816 |
j-invariant |
L |
6.0702065060437 |
L(r)(E,1)/r! |
Ω |
0.20930395106359 |
Real period |
R |
3.6252340636105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11466bb1 10192bk1 91728eh1 |
Quadratic twists by: -4 -3 -7 |