Atkin-Lehner |
7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4081c |
Isogeny class |
Conductor |
4081 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-183200171 = -1 · 72 · 113 · 532 |
Discriminant |
Eigenvalues |
-2 -1 -3 7+ 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,98,502] |
[a1,a2,a3,a4,a6] |
Generators |
[2:26:1] [7:38:1] |
Generators of the group modulo torsion |
j |
103029788672/183200171 |
j-invariant |
L |
1.8681148724297 |
L(r)(E,1)/r! |
Ω |
1.2344630445076 |
Real period |
R |
0.12610846477903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65296t1 36729n1 102025g1 28567f1 |
Quadratic twists by: -4 -3 5 -7 |