Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104907f |
Isogeny class |
Conductor |
104907 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-3461931 = -1 · 32 · 113 · 172 |
Discriminant |
Eigenvalues |
-2 3+ -3 -4 11+ -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-62,230] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:37:8] [-7:16:1] [-38:155:8] |
Generators of the group modulo torsion |
j |
-69632/9 |
j-invariant |
L |
5.6472469960824 |
L(r)(E,1)/r! |
Ω |
2.4278577173483 |
Real period |
R |
0.58150514296192 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104907d1 104907y1 |
Quadratic twists by: -11 17 |