Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72963n |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2770626384343388241 = -1 · 313 · 1110 · 67 |
Discriminant |
Eigenvalues |
-1 3- -3 3 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42494,80165814] |
[a1,a2,a3,a4,a6] |
Generators |
[542:14430:1] |
Generators of the group modulo torsion |
j |
-6570725617/2145331089 |
j-invariant |
L |
2.2778649263365 |
L(r)(E,1)/r! |
Ω |
0.20735846303088 |
Real period |
R |
1.3731444167698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24321c1 6633d1 |
Quadratic twists by: -3 -11 |