Atkin-Lehner |
3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40293f |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2907986103 = -1 · 310 · 113 · 37 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-221,2940] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-45:1] [-98:531:8] |
Generators of the group modulo torsion |
j |
-1225043/2997 |
j-invariant |
L |
5.2007516273279 |
L(r)(E,1)/r! |
Ω |
1.2643465886422 |
Real period |
R |
2.0566954006312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13431a1 40293e1 |
Quadratic twists by: -3 -11 |